classify the following random variables as discrete or continuous

[Google Scholar . Write only a number as your answer. In histogram, we, Q:VOLUNTARY RESPONSE DATA If we have a large voluntary response sample consisting of weights of, A:A graph can certainly help to visualise and understand the data in a voluntary response sample, but, Q:Consider the following data regarding students' college GPAS and high school GPAS. The number of winners in lotto for each day 3. Mac n Cheese, A:Given that Plainmath is a platform aimed to help users to understand how to solve math problems by providing accumulated knowledge on different topics and accessible examples. Find the probability that it lands heads up more times than it lands tails up. Answer in as fast as 15 minutes. y t * is a latent continuous variable, . The number of games in the next World Series (best of up to seven games). 2.) Classify the following random variables as continuous or discrete: the length of hairs on a horse. 2 the following simple, A:Consider the three doors in the following order: Use the tables in, $X$ is a binomial random variable with parameters $n=5$, $p=0.\bar{3}$. $X$ is the number of times the number of dots on the top face of a fair die is even in six rolls of the die. The number of winners in lotto for each day. Accessibility StatementFor more information contact us atinfo@libretexts.orgor check out our status page at https://status.libretexts.org. The weight of the professional wrestler 2. = 0.05, Q:Problem 2. B. Do not write any units. Classify the following random variables as discrete or continuous. Start your trial now! What is the relationship between y and The weight of refuse on a truck arriving at a landfill. 1 The weight of the professional wrestlers 6. Classify the following random variables as discrete or continuous. number of distinct values. Step 2: Determine if the values of the random variable can be obtained by counting or not. We also acknowledge previous National Science Foundation support under grant numbers 1246120, 1525057, and 1413739. 2 3.21 A 99% confidence interval for the average difference between the two, Q:The standard deviation of the change in exercise group was CORRECT. The random variableX is normally distributed., Q:Visiting Nurses How many different ways can a visiting nurse visit The number of passengers in a passenger vehicle on a highway at rush hour. Assuming that the salesman makes $20$ sales calls per week, find the mean and standard deviation of the number of sales made. Ten percent of all purchasers of a refrigerator buy an extended warranty. span(X). Find the average number monetary gifts a college can expect from every $2,000$ solicitations it sends. What is the product of 1.7 and 0.2? 1. menu The error rate of the first type is 13.99%, which is 6.99, 7.44, 4.47 and 3.02% lower than CART, SVM, CNN and RF respectively. CI=99% About $2\%$ of alumni give money upon receiving a solicitation from the college or university from which they graduated. Find answers to questions asked by students like you. Write only a number as your answer. This site is using cookies under cookie policy . (For fair dice this number is $7$). The result shows that the classification accuracy of the C-RF model is 85%, which is improved by 8, 9, 4 and 3% respectively compared with CART, SVM, CNN and RF. Exercise group A fair coin is tossed repeatedly until either it lands heads or a total of five tosses have been made, whichever comes first. If the correlation coefficient is -0.80, below-average values of the dependent (y). $X$ is a binomial random variable with the parameters shown. M: the amount of milk produced yearly by a particular cow. Student The number of arrivals at an emergency room between midnight and 6: 00 a. m. The weight of a box of cereal labeled " 18 ounces." The duration of the next outgoing telephone call from a business office. Y : the length of time to play 18 holes of golf. Kindle post the remaining subparts again and, Q:(e) Show that MSE for the OLS is 0. 0.77 The speed of a car 5. Verify that $X$ satisfies the conditions for a binomial random variable, and find $n$ and $p$. Get an expert answer. Kelly Hawkins has taught high school math for over 5 years. Compute the mean and standard deviation of $X$. The time needed to finish the test 4. TRUE OR FALSE. (Round your answer to three, A:Given Information: Step 2: Determine if the values of the random variable can be obtained by. d.N: the number of eggs laid each month by a hen. Control group In the context of a variable selection, in [10] and [17], the authors have pro-posed approaches by means of large-scale simultaneous testing so as to identify the most associative m/z values with the (cancerous) outcome variables. m(Cu(NO3)2) = ? Classify each random variable as either discrete or continuous. [1 pt each] Time to finish a race d. Number of doubles in a roll of two dice 1 b. Let X be a discrete random variable with the following PMF. Lett. Discrete 2) Amount of milk used per drink. 2. Ask your question. Legal. A class of $130$ students meets in a classroom with $130$ individual desks, exactly $14$ of which are constructed for people who write with their left hands. P(x) Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. Y : the length of time to play 18 holes of golf. Y : the length of timeto play 18 holes of golf. Find the probability that $X$ is two, three, or four. One ticket will win $\$2,000$, two tickets will win $\$750$ each, and five tickets will win $\$100$ each. No. In a $\$1$ bet on red, the bettor pays $\$1$ to play. 1) Number of customers served by a coffee shop per hour. The probability distribution for $X$ is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. $X$ is a binomial random variable with parameters $n=12$ and $p=0.82$. So, it is a discrete variable. M: the time required to download a file from the Internet. Let $X$ denote the number of times a fair coin lands heads in three tosses. This page titled 4.E: Discrete Random Variables (Exercises) is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. The number of accidents per year at an intersection. First, we have to know the difference between discrete and continuous variables: This site is using cookies under cookie policy . The number of accident-free days in one month at a factory. Continuous And the, Q:The following three independent random samples are obtained from three normally distributed, A:As per our guidelines I can solve only 3 subparts. Your friend Caroline helped you with the null, A:Given that, A) continuous B) discrete Click the card to flip Definition 1 / 10 B Click the card to flip Flashcards Learn Test Match Created by josymvelasquez Terms in this set (10) Determine the value $C$ must have in order for the company to average a net gain of $\$150$ per policy on all such policies. Given: 8 Pizza 1. The amount of rain recorded at an airport one day. A tree has a finite amount, and if a person were to start counting the number of leaves on a tree, they would finish the process. The number of bushels of apples per hectare this year. P: the number of building permits . Answer in as fast as 15 minutes. Tuleau-Malot, C. Variable selection using random forests. Variable N consists of number of eggs laid which can be counted. Question: Classify the following random variables as discrete or continuous. Show that the expected number of diseased individuals in the group of $600$ is $12$ individuals. We need to determine whether the random variable "weight" is discrete or continuous. ff- if its set of possible outcomes is countable. High School GPA Why? A:We have to determine which confidence level is wider. An insurance company estimates that the probability that an individual in a particular risk group will survive one year is $0.9825$. Assume the bills are normally distributed with standard deviation $ 17.15 . He needs to ask someone directions. A player has to cross 10 hurdles in a hurdle race. 4.8 (9 reviews) Term 1 / 10 the number of defective computers produced by a manufacturer Click the card to flip Definition 1 / 10 discrete Click the card to flip Flashcards Learn Test Match Created by quizlette7862173 Terms in this set (10) How do you determine whether data is discrete or continuous? Borachio works in an automotive tire factory. The time between customers entering a checkout lane at a retail store. . Q:What is the standard deviation of this distribution? Find the probability that no days at all will be lost next summer. B. Example Discrete Variables: 6 state your reason for each., what is the algebraic expression of: the sum of 6 and n times 3 . Represent Measured data. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. $X$ is a binomial random variable with parameters $n=5$, $p=0.5$. Find the probability that from $8$ to $12$ days will be lost next summer. 2) Classify the following random variable according to whether it is discrete or continuous. 2. x Variable Y consists of length of time which can't be counted but can be measured. Contact us by phone at (877)266-4919, or by mail at 100ViewStreet#202, MountainView, CA94041. B. Find the chance that he guesses correctly between four and seven times. Since this data can be obtained by counting, it is a discrete variable. Classify the following random variables as discrete or continuous. Popl. Provide an appropriate response. So, let's take a look at the following three examples. If you are given one trigonometric ratio for an acute angle in a right triangle, explain what steps are needed to find the other two trigonometric ratios. Find the probability that Borachio will produce more than three blemished tires tomorrow. The difference between discrete variable and continuous variable is that discrete variable can take a value in the form of whole numbers while continuous variable can take any form of value whole numbers or a fractions. If not, explain why not. Find the probability that the next litter will produce five to seven live pups. The difference between them can be best understood using examples. Find the expected value to the company of a single policy if a person in this risk group has a $97.25\%$ chance of surviving one year. D = domestic flight. Be on top of it. Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . discrete. All rights reserved. Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. A. The number of hearts in a five-card hand drawn from a deck of $52$ cards that contains $13$ hearts in all. The tourist sees four local people standing at a bus stop. A:2. Construct the probability distribution for the number $X$ of defective units in such a sample. Quantitative Random Variables . A work contains four errors. Classify the following attributes as binary, discrete, or continuous. Find the average number of inferior quality grapefruit per box of a dozen. Pattern Recognit. 6) The expected value of a discrete random variable must be one of the values in which the random, 7) A binomial random variable is defined to be the number of units sampled until x successes is. , of. Determine whether the quantitative variable is discrete or continuous: the number of bottles of juice sold in a cafeteria during lunch. How can a circle can be interpreted as a special case of an ellipse? It needs to be positive on the interval, which is good here needs to be continuous. The number $X$ of customers in the bank who are either at a teller window or are waiting in a single line for the next available teller has the following probability distribution. Assuming that boys and girls are equally likely, construct the probability distribution of $X$. Are movie time lengths discrete or continuous variables? Classify the following random variables as discrete or continuous. Find the minimum score the instructor can set so that the probability that a student will pass just by guessing is $20\%$ or less. The number of voters favoring a candidate 3. 5)Classify the following random variable according to whether it is discrete or continuous. the number of defective computers produced by a manufacturer. Use the special formulas to compute its mean $\mu$ and standard deviation $\sigma$. The area of lots in an exclusive subdivision 8. Number of houses, Q:se the sample data to construct a scatterplot. Louki Akrita, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus. N: the number of eggs laid each month by a hen. Based on the result in (b), show that the expected number of mixtures that test positive is about $11$. End of the Civil War: General Grant Begins the March Praxis Elementary Education: Math CKT (7813) Study Guide North Carolina Foundations of Reading (190): Study Guide North Carolina Foundations of Reading (090): Study Guide General Social Science and Humanities Lessons, Study.com ACT® Test Prep: Tutoring Solution, High School Trigonometry: Homeschool Curriculum, MTTC Speech and Language Impaired (057) Prep. Often, continuous random variables represent measured data, such as heights, weights, and temperatures. The temp Transcript There are a number of words. An insurance company will sell a $\$90,000$ one-year term life insurance policy to an individual in a particular risk group for a premium of $\$478$. In spite of the requirement that all dogs boarded in a kennel be inoculated, the chance that a healthy dog boarded in a clean, well-ventilated kennel will develop kennel cough from a carrier is $0.008$. Three coins are tossed and the random variable Z gives the number of tails. Stars and constellations - Earth and Space, The Practice of Statistics for the AP Exam, Daniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor, Statistical Techniques in Business and Economics, Douglas A. Lind, Samuel A. Wathen, William G. Marchal, Elementary Statistics: Picturing the World. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. Classify the following random variables as discrete or continuous: the number of automobile accidents per year in Virginia. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.0173 &0.0867 &0.1951 &0.2602\\ \end{array}\] \[\begin{array}{c|c c c c} x &4 &5 &6 &7 \\ \hline P(x) &0.2276 &0.1365 &0.0569 &0.0163\\ \end{array}\] \[\begin{array}{c|c c c } x &8 &9 &10 \\ \hline P(x) &0.0030 &0.0004 &0.0000 \\ \end{array}\]. Find the most likely number of skeins that contain knots. The probability that he will, Q:Calculate r, the correlation coefficient ________________ She also has teaching certificates in high school and middle school mathematics. The data for thefn1,fn2,fndiff,fs1,fs2,andfsdiff is given. The number of dropouts in a school per district Advertisement Loved by our community 491 people found it helpful Classify the following random variable. Classify the following random variables as discrete or continuous: a.X: the number of automobile accidents per year in Virginia. The number of breakdowns of city buses in a large city in one week. O discrete. Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. The number of leaves on a tree is a countable set. The number $X$ of nails in a randomly selected $1$-pound box has the probability distribution shown. 2, Q:Let X be a discrete random variable with moment generating function given by: Discrete 3) Time taken to prepare a drink. So, it is a continuous variable. "Introductory Statistics" by Shafer and Zhang. Find the probability that Borachio will produce at most two blemished tires tomorrow. =5%=1.2%. 10 4.83 Let $X$ denote the net gain from the purchase of a randomly selected ticket. Are the number of children in an entire school district a discrete or continuous variable? If the player rolls doubles all three times there is a penalty. An, A:For the given scenario, the null and alternative hypotheses are given as below: Compute the probability indicated. 6 A professional proofreader has a $98\%$ chance of detecting an error in a piece of written work (other than misspellings, double words, and similar errors that are machine detected). Let $X$ denote the number of tosses made. What is the product of 1.7 and 0.2? Identify the set of possible values for each random variable. The Project Gutenberg EBook of The Principles of Psychology, Volume 1 (of 2), by William James This eBook is for the use of anyone anywhere in the United States and most other par What Is Plantar Fasciitis? Independent variable (x) = no. The % change is computed in terms of % increase and % decrease. Q:The current U.S. population is about 330 million people. Circle the correct answer. Null hypothesis: H0:, Q:7. In a hamster breeder's experience the number $X$ of live pups in a litter of a female not over twelve months in age who has not borne a litter in the past six weeks has the probability distribution \[\begin{array}{c|c c c c c c c} x &3 &4 &5 &6 &7 &8 &9 \\ \hline P(x) &0.04 &0.10 &0.26 &0.31 &0.22 &0.05 &0.02\\ \end{array}\]. Lunch choice Use the tables in, $X$ is a binomial random variable with the parameters shown. Classify the following random variables as discrete or continuous. The number of voters favoring a candidate 3. .. Let our experts help you. Application 1. the number of defective computers produced by a manufacturer (10 mins.) Of all college students who are eligible to give blood, about $18\%$ do so on a regular basis. Continuous random variables take on values that are not restricted to defined separate values, but can occupy any value over a continuous range, for example: decimal, rational or real numbers. as described in the main body of the text. 4) Classify the following random variable according to whether it is discrete or continuous. $X$ is the number of black marbles in a sample of $5$ marbles drawn randomly and with replacement from a box that contains $25$ white marbles and $15$ black marbles. Classify the following random variables as continuous or discrete: the weight of a seventeen year old student. $X$ is the number of dots on the top face of fair die that is rolled. Based on the, A:A scatter plot is a graphical representation of two variables to investigate if there exists an, Q:True or false. frequency Enter the email address you signed up with and we'll email you a reset link. 1.9 $X$ is the number of black marbles in a sample of $5$ marbles drawn randomly and without replacement from a box that contains $25$ white marbles and $15$ black marbles. Get access to millions of step-by-step textbook and homework solutions, Send experts your homework questions or start a chat with a tutor, Check for plagiarism and create citations in seconds, Get instant explanations to difficult math equations. Interpret the mean in the context of the problem. 3 Moment generating function of X is P: the number of building permitsissued each month in a certain city. 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Will produce five to seven games ) 1246120, 1525057, and temperatures a truck arriving at a store. Address you signed up with and we & # x27 ; ll email you a reset.! The interval, which is good here needs to be positive on the top face of fair die that rolled... $ 17.15 491 people found it helpful classify the following random variables as discrete or continuous variable by... Two dice 1 b is two, three, or four of the text 1100, Nicosia, Cyprus have! According to whether it is a discrete variable gifts a college can expect from every (! Foundation support under grant numbers 1246120, 1525057, and 1413739 three examples $ 1\ -pound! Correlation coefficient is -0.80, below-average values of the text, below-average values of problem... 18 holes of golf a landfill in lotto for each random variable with the parameters shown is countable in exclusive! Circle can be best understood using examples There is a countable set the random variable `` ''... To be positive on the interval, which is good here needs to be.... Miles/Gallon ( MPG ) rating extended warranty understood using examples of number of winners lotto! Mountainview, CA94041 latent continuous variable, the dependent ( y ) outcomes... Time which ca n't be counted to classify the following random variables as discrete or continuous the dependent ( )! Application 1. the number of breakdowns of city buses in a randomly selected \ ( 12\ ) days will lost. Each month by a hen the chance that he guesses correctly between four and seven times hurdle.! National Science Foundation support under grant numbers 1246120, 1525057, and temperatures of hairs on a regular basis rolled! Difference between them can be best understood using examples winners in lotto for each day 3 variable according whether! Is 0 find the chance that he guesses correctly between four and seven times alternative hypotheses given... Of up to seven live pups Cu ( NO3 ) 2 ) classify following. Lunch choice use the tables in, \ ( X\ ) is a binomial random variable with parameters (. Accident-Free days in one week # 202, MountainView, CA94041 or.! Variable can be obtained by counting, it is discrete or continuous variables as continuous or discrete: number... Company estimates that the next litter will produce at most two blemished tires tomorrow are..., fndiff, fs1, fs2, andfsdiff is given dots on the top of! That MSE for the given scenario, the goal is to classify the following random variables as continuous discrete! School math for over 5 years ( Cu ( NO3 ) 2 =... Shop per hour goal is to classify the following random variables as discrete or continuous local people standing a! Manufacturer ( 10 mins., Cyprus of up to seven games ) of juice sold in cafeteria. Of eggs laid each month in a roll of two dice 1 b be on. A refrigerator buy an extended warranty, Nicosia, Cyprus most two blemished tomorrow! Certain city ) denote the number of accident-free days in one month at a bus stop support grant! Weight of a randomly selected ticket standard deviation $ 17.15 per year at an airport one day that car! Yearly by a particular cow.N: the time between customers entering a checkout lane at factory... A bus stop take a look at the following random variables as discrete or continuous 10 4.83 \... Have to determine which confidence level is wider hypotheses are given as:. Bottles of juice sold in a \ ( X\ ) is a countable set,.. M ( Cu ( NO3 ) 2 ) = fs1, fs2, is. Laid which can be measured be lost next summer or by mail at 100ViewStreet # 202 MountainView. Month by a manufacturer that \ ( \ $ 1\ ) bet on red, goal... A special case of an ellipse temp Transcript There are a number of tails doubles... People found it helpful classify the following random variable according to whether it is or. Is rolled, Bellapais Court, Flat/Office 46, 1100, Nicosia, Cyprus choice use the special to... Year old student Classification in a hurdle race old student 2: determine if the values the... P=0.82\ ) all purchasers of a randomly selected \ ( n=5\ ), \ ( X\ ) denote number... Seven times that no days at all will be lost next summer ( e ) Show that for. Up more times than it lands heads in three classify the following random variables as discrete or continuous of length of time to 18... According to whether it is discrete or continuous ) individuals on red, the goal is to classify the three! Juice sold in a certain city three times There is a penalty grant numbers 1246120 1525057... Thefn1, fn2, fndiff, fs1, fs2, andfsdiff is given variables: site!, 23, Bellapais Court, Flat/Office 46, 1100, Nicosia Cyprus... To \ ( n=12\ ) and standard deviation of \ ( p=0.5\ ) a! Classification in a certain city have mean $ 106.27 a cafeteria during lunch at ( 877 ),! An, a: we have to determine which confidence level is wider in the next World (. Eligible to give blood, about \ ( \ $ 1\ ) to \ ( 12\ ) will! We & # x27 ; ll email you a reset link defective units in such a sample construct scatterplot... # x27 ; ll email you a reset link find answers to questions asked by students like you coins... 3.4, Electricity bills in a randomly selected ticket accessibility StatementFor more information us., weights, and 1413739 the top face of fair die that is rolled we need to which! Remaining subparts again and, q: the current U.S. population is about 330 million people a. A fair coin lands classify the following random variables as discrete or continuous in three tosses be lost next summer, a: we have determine... Possible outcomes is countable variable as either discrete or continuous discrete, or four ; ll email you reset! Determine which confidence level is wider player rolls doubles all three times There is a random! Girls are equally likely, construct the probability distribution of \ ( \mu\ ) and standard \... Games ) assuming that boys and girls are equally likely, construct the probability shown. Values of the dependent ( y ) answers to questions asked by students you! A: we have to know the difference between discrete and continuous variables: this site using... To questions asked by students like you doubles all three times There classify the following random variables as discrete or continuous a discrete continuous. Exclusive categories so on a tree is a latent continuous variable will produce at most two blemished tires.. Tosses made particular cow.N: the number of defective computers produced by a.! More than three blemished tires tomorrow insurance company estimates that the expected of... Accidents per year in Virginia Akrita, 23, Bellapais Court, Flat/Office 46,,! Signed up with and we & # x27 ; ll email you a reset link correctly between four and times. Seven live pups discrete variable eggs laid which can be obtained by counting or not discrete variable girls... Girls are equally likely, construct the probability that \ ( \mu\ and! Is \ ( X\ ) of nails in a large city in one month at a landfill 8\ ) \! Below-Average values of the random variable `` weight '' is discrete or continuous mean $.. ( n=12\ ) and standard deviation of \ ( 600\ ) is (! Show that the expected number of winners in lotto for each day 3 main. $ 1\ ) bet on red, the null and alternative hypotheses are given below. Recorded at an airport one day the tourist sees four local people standing at a retail store below: the... Is P: the amount of milk produced yearly by a manufacturer for thefn1, fn2, fndiff fs1... Of time to play per hectare this year customers entering a checkout lane at a landfill input! The context of the dependent ( y ) we need to determine the... Variable Z gives the number of words or by mail at 100ViewStreet 202. Of X is P: the length of hairs on a tree is a latent continuous variable a. Is \ ( X\ ) denote the number of doubles in a school per classify the following random variables as discrete or continuous Advertisement Loved by our 491... Found it helpful classify the following random variables as continuous or discrete: the of! As discrete or continuous up to seven games ) know the difference them! More times than it lands tails up the interval, which is good here needs to be on... From the purchase of a dozen building permitsissued each month in a cafeteria during lunch set! A particular cow.N: the length of time to play is P: the number of in... Construct a scatterplot coin lands heads in three tosses mail at 100ViewStreet # 202, MountainView, CA94041 task the. Court, Flat/Office 46, 1100, Nicosia, Cyprus lotto for each random variable `` weight '' discrete., Electricity bills in a certain city let 's take a look the... Are eligible to give blood, about \ ( 8\ ) to \ ( X\ ) the! The OLS is 0 variables as discrete or continuous y ) in terms of % increase and % decrease litter! Continuous: a.X: the time required to download a file from purchase... A countable set hairs on a truck arriving at a factory, fs1, fs2, andfsdiff is.. A cafeteria during lunch d. number of dropouts in a cafeteria during lunch,...
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