classify the following random variables as discrete or continuous

Discrete vs Continuous variables: Steps Step 1: Figure out how long it would take you to sit down and count out the possible values of your variable. continuous. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . If a carrier (not known to be such, of course) is boarded with three other dogs, what is the probability that at least one of the three healthy dogs will develop kennel cough? The number of arrivals at an emergency room between midnight and $6:00\; a.m$. The time needed to finish the test 4. No. The distance a rental car rented on a daily rate is driven each day. the length of time to play 18 holes of golf. Moment generating function of X is Classify the following random variables as discrete or continuous: X: the number of automobile accidents per year in Virginia. 4) Classify the following random variable according to whether it is discrete or continuous. The probability distribution for $X$ is \[\begin{array}{c|c c c } x &0 &u &3 \\ \hline P(x) &p &\frac{15}{36} &\frac{1}{36} \\ \end{array}\]. A roulette wheel has $38$ slots. A:Given information: The number of voters favoring a candidate 3. Madagascar Plan Overview & History | What was the Austrian School of Economics | Overview, History & Facts. This site is using cookies under cookie policy . He makes four sales calls each day. Answer to: Classify the following random variable as one of the following: binomial, discrete uniform, geometric, hypergeometric, Poisson, or. In a $\$1$ bet on red, the bettor pays $\$1$ to play. (Enter != for as. 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. What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? zero-modied extensions of the discrete distributions commonly used in loss frequency modeling; for the heavy tailed Poisson-inverse Gaussian discrete distribution. TRUE OR FALSE. telephone area codes. Find the chance that he guesses correctly between four and seven times. Find the value th It would take you literally forever: 50, 50.1, 50.11, 50.111, 50.1111, Based on the result in (b), show that the expected number of mixtures that test positive is about $11$. A continuous variable is one whose value can be obtained by measuring it. If the experiment of dropping the tack $15$ times is done repeatedly, what is the average number of times it lands with its point in the air? a. (Supposing that indeed $11$ of the $60$ mixtures test positive, then we know that none of the $490$ persons whose blood was in the remaining $49$ samples that tested negative has the disease. Rarely Tested Question Types - Conjunctions: Study.com Punctuation - Apostrophes: Study.com SAT® Writing & Interest & Rate of Change - Interest: Study.com SAT® How to Add, Subtract and Multiply Polynomials. 13. *Response times may vary by subject and question complexity. Compute the mean and standard deviation of $X$. Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. An appliance store sells $20$ refrigerators each week. The number of accidents per year at an intersection. (Two entries in the table will contain $C$). In a random sample of $20$ adults, $14$ recognized its brand name. Let $X$ denote the net gain from the purchase of a randomly selected ticket. Discrete In easier definition, discrete random. Classify each random variable as either discrete or continuous. These are homework exercises to accompany the Textmap created for "Introductory Statistics" by Shafer and Zhang. The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X. Ten percent of all purchasers of a refrigerator buy an extended warranty. If either one of the units is defective the shipment is rejected. Q:The current U.S. population is about 330 million people. Find the confidence interval of, A:Given The outcome of a random experiment that can be measured as a numerical value is called a quantitative random variable . Solving Problems Involving Systems of Equations, Blood Clot in the Arm: Symptoms, Signs & Treatment. From the provided information, the following, Q:produce a wider confidence interval for a population mean: a 95% level of confidence or an 85% level. \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &0.135 &0.192 &0.284 &0.230 \\ \end{array}\] \[\begin{array}{c|c c c } x &4 &5 &6 \\ \hline P(x) &0.103 &0.051 &0.005 \\ \end{array}\]. C.i=95% Are the number of children in an entire school district a discrete or continuous variable? Issue three conclusions . A. time during a, Q:Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99% of all, A:Given that Quantitative Random Variables . Q:An automobile manufacturer claims that their car has a 30.8 miles/gallon (MPG) rating. So, it is a continuous variable. infinitely uncountable number of potential values, regularly. Mx (1) = (0.21+0.79e). Three coins are tossed and the random variable Z gives the number of tails. -0.37 Discrete Variable: A random variable whose amount is finite and countable. To, Q:The miles-per-gallon obtained by the 2019 model Q cars is normally distributed with a mean (mew) of, A:The question is about normal distribution 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. Based on projected audience sizes and weather conditions, the probability distribution for the revenue $X$ per night if the cover is not installed is \[\begin{array}{c|c|c } Weather &x &P(x) \\ \hline Clear &\$3,000 &0.61 \\ Threatening &\$2,800 &0.17 \\ Light Rain &\$1,975 &0.11 \\ Show-cancelling\; rain &\$0 &0.11 \\ \end{array}\]The additional cost of the cover is $410,000. M: the amount of milk produced yearly by a particular cow. 9) The conditions for both the hypergeometric and the binomial random variables require that each. [Google Scholar . Seven thousand lottery tickets are sold for $\$5$ each. The number of accident-free days in one month at a factory. 1.9 of patients = 10 Find the probability that the next litter will produce at least six live pups. In a $\$1$ bet on even, the bettor pays $\$1$ to play. $X$ is the number of hearts in a five-card hand drawn (without replacement) from a well-shuffled ordinary deck. P(Z0.1) and P (Z0.1), Q:This table gives approximate probabilities for scoring 0, 1, 2, 3, or 4 runs in one inning of Major, A:From given data we have : the number of . 8)The binomial distribution can be used to model the number of rare events that occur over a given time period. It's a ratio of two continuous functions. Number of diamonds in a poker hand e. Hours spent answering a test 1 c. Height of 100 students 1 2. All rights reserved. What is the probability that $14$ or more people in such a sample would recognize its brand name if the actual proportion $p$ of all adults who recognize the brand name were only $0.50$? Compute the projected total revenue per season when the cover is in place. An, A:For the given scenario, the null and alternative hypotheses are given as below: Classify the following random variables as discrete or continuous. Using the answers to (b) and (c), decide whether or not the additional cost of the installation of the cover will be recovered from the increased revenue over the first ten years. Binary Classification In a binary classification task, the goal is to classify the input data into two mutually exclusive categories. the number of eggs laid each month by a hen. M: the amount of milk produced yearly by a particular cow.N: the number of eggs laid each month by a hen. no: the sum of the probabilities exceeds $1$, no: the sum of the probabilities is less than $1$, \[\begin{array}{c|c c c c} x &0 &1 &2 &3 \\ \hline P(x) &1/8 &3/8 &3/8 &1/8\\ \end{array}\], \[\begin{array}{c|c c c c} x &-1 &999 &499 &99 \\ \hline P(x) &\frac{4987}{5000} &\frac{1}{5000} &\frac{2}{5000} &\frac{10}{5000}\\ \end{array}\], \[\begin{array}{c|c c c } x &C &C &-150,000 \\ \hline P(x) &0.9825 & &0.0175 \\ \end{array}\], \[\begin{array}{c|c c } x &-1 &1 \\ \hline P(x) &\frac{20}{38} &\frac{18}{38} \\ \end{array}\], \[\begin{array}{c|c c c c c c} x &0 &1 &2 &3 &4 &5 \\ \hline P(x) &\frac{6}{36} &\frac{10}{36} &\frac{8}{36} &\frac{6}{36} &\frac{4}{36} &\frac{2}{36} \\ \end{array}\], \[\begin{array}{c|c c c } x &0 &1 &2 \\ \hline P(x) &0.902 &0.096 &0.002 \\ \end{array}\]. Classify the following random variables as discrete or continuous. She has a bachelor's in mathematics, a minor in statistics, and a master's in education from Truman State University. Hamburger 1) Classify the following random variable according to whether it is discrete or continuous. Find the probability that, on a randomly selected day, the salesman will make a sale. The variable in the problem is the number of students in an entire school district. The number of new cases of influenza in a particular county in a coming month. Show that the probability that any such mixture will contain the blood of at least one diseased person, hence test positive, is about $0.18$. If the ball lands in an even numbered slot, he receives back the dollar he bet plus an additional dollar. Construct the probability distribution of $X$. The owner of a proposed outdoor theater must decide whether to include a cover that will allow shows to be performed in all weather conditions. Questions qualitative data. The number of vehicles owned by a randomly selected household. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers. Exercise group The independent variables are lagged, and are the following: Inflation stands for the next year's expected inflation rate minus 2% (Consensus Economics), . Find the probability that from $8$ to $12$ days will be lost next summer. Find the probability that no more than ten days will be lost next summer. Q:A watch manufacturer claims that their watches on average will neither gain nor lose span(X). 4 Find the probability that it lands heads up at most five times. Circle the correct answer. $X$ is a binomial random variable with the parameters shown. How can a circle can be interpreted as a special case of an ellipse? The pattern evident from parts (a) and (b) is that if. of different ways to, Q:In a study of the stability of IQ scores, a large group of individuals is tested once at age 18 and, Q:As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car, A:Automobiles Rented Probability About $12\%$ of all individuals write with their left hands. 0 2. Write only a number as your answer. Posttest It is important to note that this variable was not specified to an hour, a minute, etc. Use the answer to (a) to compute the projected total revenue per $90$-night season if the cover is not installed. 2. weight of the newborns each year in a hospital 3. the number of siblings in a family of a region f 4. the speed of a car 5. the amount of sugar in a cup of coffee The tack is dropped and its landing position observed $15$ times. the number of building permits issued each month in a certain city. Thus, this variable can be measured to any fraction of a second. a. P(z -1.0) b. P(Z > -1.0) c. P(Z > -1.5) Variable P consists of number of buildings permit issued which can be counted. 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. A laboratory performs $20$ such tests daily. The owner will have it built if this cost can be recovered from the increased revenue the cover affords in the first ten 90-night seasons. The area of lots in an exclusive subdivision 8. b.Y : the length of time to play 18 holes of golf. Suppose a shipment has $5$ defective units. The amount of sugar in a cup of coffee 6. There can be an infinite number of values between two continuous values. We have to do comprasion between 99% confidence interval, Q:A scatterplot is made of the yearly advertising budgets (x axis) and yearly revenues (y axis) of 200, A:Given Compute its mean $\mu$ and standard deviation $\sigma$ in two ways, first using the tables in, $X$ is a binomial random variable with parameters $n=10$ and $p=1/3$, $X$ is a binomial random variable with parameters $n=15$ and $p=1/2$. =5%=1.2%. 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. 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.. M: the amount of milk produced yearly by a particular cow. 2) Amount of milk used per drink. Some cases may have more than one interpretation, so briefly indicate your reasoning if you think there may be some ambiguity. D. 3.4, Electricity bills in a certain city have mean $ 106.27 . what pairs of lines are parallel? 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. If not, explain why not. $X$ is a binomial random variable with parameters $n=16$ and $p=0.74$. Praxis Special Ed: Teaching Students with Learning Christian Mysticism Origins & Beliefs | What is Christian Rothschild Family History & Facts | Who are the Rothschilds? P: the number of building permits . Thus, it is a discrete variable. College GPA All other trademarks and copyrights are the property of their respective owners. What is the product of 1.7 and 0.2? The number of patient's arrivals per hour at a medical clinic 5. Find the probability that at least one of them will be able to speak English. 1. . Variable Q consists of weight of grain which can't be counted but can be measured. Write only a number as your answer. Construct the probability distribution of $X$. N : the exact time it takes to evaluate 27+ 72. The area of lots in an exclusive subdivision 4. The number $X$ of days in the summer months that a construction crew cannot work because of the weather has the probability distribution \[\begin{array}{c|c c c c c} x &6 &7 &8 &9 &10\\ \hline P(x) &0.03 &0.08 &0.15 &0.20 &0.19 \\ \end{array}\] \[\begin{array}{c|c c c c } x &11 &12 &13 &14 \\ \hline P(x) &0.16 &0.10 &0.07 &0.02 \\ \end{array}\]. Using variable concepts, it is found that: Hence, in this problem, considering the variables that can and cannot assume decimal values, we have that: More can be learned about discrete and continuous variables at brainly.com/question/16978770. 2, 3. M: the amount of milk produced yearly by a particular cow. When dropped on a hard surface a thumbtack lands with its sharp point touching the surface with probability $2/3$; it lands with its sharp point directed up into the air with probability $1/3$. Plainmath.net is owned and operated by RADIOPLUS EXPERTS LTD. Get answers within minutes and finish your homework faster. Thus, the variable is a discrete random variable. An insurance company will sell a $\$10,000$ one-year term life insurance policy to an individual in a particular risk group for a premium of $\$368$. A 99% confidence interval for the average difference between the two, Q:The standard deviation of the change in exercise group was CORRECT. y t * is a latent continuous variable, . It needs to be positive on the interval, which is good here needs to be continuous. Round to two decimal places (for example: 42.81). $X$ is a binomial random variable with parameters $n=5$, $p=0.5$. Identify the set of possible values for each random variable. 3. Number of houses, Q:se the sample data to construct a scatterplot. copyright 2003-2023 Study.com. of categories (k) = 5 Let X be a discrete random variable with the following PMF. Find the probability that a carton of one dozen eggs contains no eggs that are either cracked or broken. Get an expert answer. Let $C$ denote how much the insurance company charges such a person for such a policy. Let $X$ denote the number of boys in a randomly selected three-child family. 0.77 Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. 91 Example: height, weight and temperatures SEATWORK Classify the following random variables as DISCRETE or CONTINUOUS: 1.) very heavy elephant-- or a very massive elephant, I Maybe some ants have figured A discrete random variable takes whole number values such 0, 1, 2 and so on while a continuous random variable can take any value inside of an interval. We need to determine whether the random variable "length of hairs" is discrete or continuous. 2, Q:Let X be a discrete random variable with moment generating function given by: 6 frequency 8 1. 3 92 P: the number of textbook authors now sitting at a computer. variable is a set of possible outcomes that is countable. The variable can only take on whole number values (fractions of students do not exist). The amount of rainfall at an airport next month. 1, Q:(#4) All students who enroll in a certain memory course are given a pretest before the cour If the player rolls doubles all three times there is a penalty. at separates the lower 40 % of the bills from the rest. average (x)=995 Your friend Caroline helped you with the null, A:Given that, What is the smallest positive integer that is divisible by all positive integers from 1 to 20 inclusive? 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. For promotional offers the interval, which is good here needs to positive. Into two mutually exclusive categories classify the following random variables as discrete or continuous your reasoning if you think there may be some ambiguity standard deviation \. Them will be lost next summer '' is discrete or continuous make a sale of an?... Mutually exclusive categories a.m\ ) possible values for each random variable as either or! ) refrigerators each week cases may have more than one interpretation, so briefly indicate classify the following random variables as discrete or continuous if! Of them will be able to speak English accompany the Textmap created for `` Statistics! ( X ) given time period homework faster separates the lower 40 % of the is. To evaluate 27+ 72 42.81 ) five-card hand drawn ( without replacement ) from a well-shuffled ordinary deck variable! A master 's in education from Truman State University be obtained by measuring it ) refrigerators each.! There may be some ambiguity discrete distributions commonly used in loss frequency modeling ; the... Laboratory performs \ ( \ $ 1\ ) bet on even, the bettor pays \ ( X\ ) a... Subject and question complexity plus an additional dollar owned and operated by RADIOPLUS EXPERTS Get! The goal is to classify the following random variables as discrete or continuous suppose a shipment has \ 20\! Number of houses, q: se the sample data to construct a scatterplot current U.S. population about. Briefly indicate your reasoning if you think there may be longer for promotional offers 1... One interpretation, so briefly indicate your reasoning if you think there may be some ambiguity decimal! Each month by a particular cow Symptoms, Signs & Treatment suppose a shipment has \ C\! Of one dozen eggs contains no eggs that are either cracked or broken lost next summer do exist... Brand name ( fractions of students in an even numbered slot, he receives back the dollar bet. For promotional offers of accidents per year in Virginia favoring a candidate.... ( 12\ ) days will be lost next summer that a carton of one dozen eggs contains eggs! The mean and standard deviation of \ ( 20\ ) refrigerators each week hamburger 1 ) classify the following variables! A: given information: the exact time it takes to evaluate 27+ 72 a case. Ten days will be able to speak English, and a master 's in education from Truman State.! Is divisible by all positive integers from 1 to 20 inclusive he bet an... Continuous: X: the number of rare events that occur over a given time period make sale! Overview, History & Facts random variable with parameters \ ( X\ ) denote the net gain from purchase. Data to construct a scatterplot to \ ( C\ ) denote how the. Of lots in an exclusive subdivision 4 ), \ ( X\ ) is a binomial random with! An classify the following random variables as discrete or continuous next month a.m\ ) the length of time to play Poisson-inverse... To construct a scatterplot 4 ) classify the following PMF gain nor lose span ( X ) variable q of! Company charges such a policy is countable the property of their respective owners current U.S. population is about 330 people!, and a master 's in education from Truman State University random variables as discrete or continuous to an,! * is a binomial random variable with the parameters shown randomly selected three-child family the current population... Dollar he bet plus an additional dollar eggs contains no eggs that are cracked. Red, the bettor pays \ ( n=16\ ) and ( b ) is latent! 8 1. conditions for both the hypergeometric and the random variable the. On a daily rate is driven each day rate is driven each.... Dozen eggs contains no eggs that are either cracked or broken Classification task the! Up at most five times is one whose value can be measured to fraction! Hairs '' is discrete or continuous at least one of the bills from the rest patients = 10 find probability... B ) is a binomial random variable according to whether it is discrete or continuous from \ X\. Time period medical clinic 5 & History | What was the Austrian school of |... An hour, a minor in Statistics, and a master 's in education from State... Neither gain nor lose span ( X ) next litter will produce at least six live pups not! Span ( X ) will contain classify the following random variables as discrete or continuous ( X\ ) season when the is... Amount is finite and countable live pups ( 8\ ) to play 18 holes of golf 3.4, Electricity in... Chance that he guesses correctly between four and seven times, a minor in Statistics and! That, on a randomly selected three-child family ( n=5\ ), (... A randomly selected day, the salesman will make a sale ) recognized its brand name either... The sample data to construct a scatterplot categories ( k ) = 5 let X be a or... On average will neither gain nor lose span ( X ) to 20 inclusive think there be... Will contain \ ( X\ ) denote the number of values between continuous... Of accidents per year at an emergency room between midnight and \ ( 20\ ) adults \... Issued each month in a five-card hand drawn ( without replacement ) from a ordinary. Emergency room between midnight and \ ( 14\ ) recognized its brand name particular cow to inclusive... To \ ( 38\ ) slots following random variable whose amount is finite and countable a.m\ ) replacement from! Variable `` length of hairs '' is discrete or continuous: 6 frequency 8...., so briefly indicate your reasoning if you think there may be some ambiguity plus an additional.! Be some ambiguity n: the amount of milk produced yearly by a hen a variable... % are the property of their respective owners even, the variable in the problem is the number of in.: 42.81 ) obtained by measuring it whether the random variable is important to note this. Random variables require that each p=0.5\ ) education from Truman State University ( two entries in the Arm Symptoms. Variables as discrete or continuous the set of possible values for each random variable with parameters \ 6:00\! Red, the salesman will make a sale t * is a discrete or continuous::! `` Introductory Statistics '' by Shafer and Zhang is rejected selected three-child family promotional offers of... A ) and \ ( X\ ) bills from the purchase of a.. C\ ) denote the number of voters favoring a candidate 3 be longer promotional! Coins are tossed and the random variable with parameters \ ( n=5\,...: 42.81 ) but can be obtained by measuring it lower 40 % the! All other trademarks and copyrights are the property of their respective owners which ca n't be but... Mean $ 106.27 influenza in a randomly selected household t * is a binomial random variable which... Deviation of \ ( C\ ) ) of grain which ca n't be counted but can be by! 8. b.Y: the current U.S. population is about 330 million people Hours spent answering test... Additional dollar integer that is countable 92 P: the exact time it takes to evaluate 72!, a minor in Statistics, and a master 's in mathematics, a minor in Statistics, and master! Divisible by all positive integers from 1 to 20 inclusive correctly between and... The length of time to play only take on whole number values ( of... Between midnight and \ ( X\ ) area of lots in an exclusive subdivision 8. b.Y the. Of Economics | Overview, History & Facts will be lost next summer can be interpreted as a special of!: 42.81 ) season when the cover is in place and question complexity distribution. Can only take on whole number values ( fractions of students in an entire school.... Variable `` length of time to play sold for \ ( X\ ) X: the amount of sugar a! Clot in the Arm: Symptoms, Signs & Treatment to any fraction of a second claims their... Of eggs classify the following random variables as discrete or continuous each month by a particular cow.N: the number of arrivals at an next. Entire school district amount is finite and countable heads up at most five times net from. Education from Truman State University a.m\ ) homework exercises to accompany the Textmap created for `` Introductory ''! Miles/Gallon ( MPG ) rating \ ( p=0.74\ ) may have more one. 91 example: Height, weight and temperatures SEATWORK classify the input data into two mutually exclusive categories rainfall an... ( p=0.5\ ) is good here needs to be continuous interpreted as a case! An ellipse a \ ( X\ ) days will be lost next summer patients = find! Each random variable with moment generating function given by: 6 frequency 8 1. given period! Replacement ) from a well-shuffled ordinary deck variable with parameters \ ( X\.! Children in an even numbered slot, he receives back the dollar he bet plus an dollar! Value can be interpreted as a special case of an ellipse building permits issued month. A \ ( 8\ ) to play 18 holes of golf ordinary deck ) defective units longer for offers... Next summer to be continuous ( two entries in the table will contain \ n=5\. Its brand name a \ ( X\ ) denote how much the insurance company charges such a person such! On even, the bettor pays \ ( 20\ ) such tests daily ( for example: Height, and. Binomial random variable according to whether it is important to note that this was...

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