Two six-sided dice are rolled and the random variable x is the sum of the values produced by each die.a. List the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x.b. Calculate the variance of x.c. Calculate the standard deviation of x.a. List the possible outcomes for the variable x. Choose the correct answer below.O A. 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12О В. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12ОС. 1,2, 3, 4, 5, 6O D. 3, 4, 5, 6, 7, 8, 9, 10, 11Determine the probability for each outcome. Select the correct choice below and fill in the answer boxes to complete your choice.(Type integers or fractions.)O A. P(1) =. P(2) =P(3) =P(4) =P(5) =P(6) =О В. Р/2)-P(3) =, P(4) =, P(5) =P(6) =P(7) =P(8) =P(9) =, P(10)=P(11) =P(12) =%3DO C. P(3) =P(4) =, P(5) =, P(6) =,P(7) =P(8) =P(9) =P(10) =P(11) =O D. P(1)=, P(2) =, P(3) =P(4) =, P(5) =P(6) =P(7) =P(8) =P(9) =P(10) =P(11) =P(12) = Two six-sided dice are rolled and the random variable x is the sum of the values produced by each die.a. List the possible outcomes for the variable x, determine the probability for each outcome, and calculate the expected value of x.b. Calculate the variance of x.c. Calculate the standard deviation of x.(...)U A. P(1)=P(2) =P(3) =, P(4) =P(5) =P(6) =|О В. Р2) 3P(3) =P(4) =P(5) =P(6) =P(7) =P(8) =P(9) =P(10) =P(11) =P(12) =O C. P(3) =P(4)=, P(5) =P(6) =P(7) =P(8) =P(9) =P(10) =P(11) =O D. P(1) =P(2) =P(3) =P(4) =P(5) =P(6) =P(7) =P(8) =P(9) =P(10) =P(11) =P(12) =Calculate the expected value of x.E(x) = (Type an integer or a decimal. Do not round.)b. Calculate the variance of x.o = (Simplify your answer.)c. Calculate the standard deviation of x.Oy =(Round to three decimal places as needed.)

The question is based on calculating expected value , variance using probability dist. Given : Two…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that you flip two fair dice with five sides such that the outcomes are X = {1,2,3,4,5} and Y = {1,2,3,4,5}. %3D i. Determine the possible pairs in the sample space ii. Determine the probability associated with all possible pairs Construct the marginal probability distribution of X and Y. iii.
Question Hel The probability is 0.45 that a traffic fatality involves an intoxicated or alcohol-impaired driver or nonoccupant. In seven traffic fatalities, find the probability that the number, Y, which involve an intoxicated or alcohol-impaired driver or nonoccupant is a. exactly three; at least three; at most three. b. between two and four, inclusive. c. Find and interpret the mean of the random variable Y. d. Obtain the standard deviation of Y. a. The probability that exactly three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is 0.2918. (Round to four decimal places as needed.) The probability that at least three traffic fatalities involve an intoxicated or alcohol-impaired driver or nonoccupant is. (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. 5 parts remalning Clear All Check Answer 70 MacBook Air
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Determine whether the random variable x is discrete or continuous. Explain. Let x represent the distance a baseball travels in the air after being hit. Choose the correct answer below. O A. The random variable is discrete, because it has an uncountable number of possible outcomes. O B. The random variable is continuous, because it has an uncountable number of possible outcomes. O C. The random variable ks discrete, because it has a countable number of possible outcomes. D. The random variable is continuous, because it has a countable number of possible outcomes.
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College students are randomly selected and arranged in groups of three. The random variable x is the number in the group who say that they take one or more online courses. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the sum of all the probabilities is not equal to 1. C. No, the random variable x is categorical instead of numerical. D. No, the numerical values of the random variable x are not associated with probabilities. E. No, not every probability is between 0 and 1 inclusive. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. H= students (Round to one decimal place as needed.) O B.…
8°F Vindy Question 3 Question submitted. > Next question You can retry this question below The probability distribution for the number of houses on a street is given, but one value is missing. Fill in the missing value, then answer the questions that follow. P(X) X 22 23 24 25 26 ++ 0.16 0.2 0.23 .23 0.18 Round your answers to two decimal places. b) Find the mean number of houses on the street: 27.04 c) Find the variance of the number of houses on the street: 1.79 Submit Question Q Search H 8p
ols A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. 0 0 1 0.2447 2 0.3208 3 0.2415 4 0.1073 P(X=x) 0.0857 ... a. Find and interpret the mean of the random variable. =(Round to four decimal places as needed.) View an example Help me solve this Get more help. F5 A MacBook Air F6 F7 DII Clear all FB F9 I Check answer F10 F11
Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The square footage of a house b. The weight of a T-bone steak c. The gender of college students d. The exact time it takes to evaluate 27+72 e. The number of light bulbs that burn out in the next week in a room with 10 bulbs f. The time required to download a file from the Internet
Find the mean of the given probability distribution. A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.51, 0.35, 0.13, and 0.01, respectively. A. μ=1.50 B. μ=0.64 C. μ=1.15 D. μ=0.25
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Quiz: Self-Check 3.2 This Question: 1 pt 5 of 8 (4 cor Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 3 4 Probability 0.662 0.212 0.083 0,022 0.013 0.008 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. 卫三 (Round to one decimal place as needed.) Find the variance of the probability distribution. (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. | (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. Click to selecCt your answer(S). Video Tuterial How to Find Probablitie T1-84. =earch

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