Suppose a random variable z is best described by a uniform probability distribution with range 1 to 6. Find the value of a that makes the followingprobability statements true.(a) P(a ≤ a) 0.63G=(b) P(r a) = 0.22(0) P(2.03 ≤ ≤ a) = 0.01a=

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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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Let X be a random variable that can take the values 2, 9, or 13. And let f(x) be its probability distribution. Find the variance of the random variable X, given that its probability distribution is f(2) = 0.1 f(9) = 0.4 f(13) = 0.5 Round your answer to an integer.
As you walk into your econometrics exam, a friend bets you $10 that she will outscore you on the exam. Let ✗ be a random variable denoting your winnings. X can take the values 10, if you win teh bet, 0 if there is a score tie, or -10 if you lose. You know that the probability distribution for ✗ is denoted by f(x) and it depends on whether she studied for the exam or not. Let Y be the random variable that indicates if she studied, Y = 0 if she studied and Y = 1 if she did not study. The following table denotes the joint distribution of X and Y : Y=0 Y=1 f(x) X = -10 0.18 P1 P2 X = 0 0 P3 0.3 X = 10 P4 0.45 P5 f(y) P6 0.75 Probabilities P1, P2, P3, P4, P5, P6 are not displayed in the table. Answer the following items: (a) (b) (a) Compute the Probabilities P1, P2, P3, P4, P5, P6 of the table. (b) Compute the expectation E(X). Should you take the bet? (c) What is the probability distribution of your winnings if you know that she did not study, namely, P(X = −10|Y = 1), P(X = 0|Y = 1), P(X…
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the P(x) 0.092 most fun way to flirt is in person. 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, 1 0.348 0.397 3 0.163 Does the table show a probability distribution? Select all that apply. O A. Yes, the table shows a probability distribution. O B. No, the random variable x is categorical instead of numerical. O c. No, the random variable x's number values are not associated with probabilities. O D. No, not every probability is between 0 and 1 inclusive. O E. No, the sum of all the probabilities is not equal to 1. 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. O A. µ= adult(s)…
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Suppose a random variable X is best described by a uniform probability distribution with range 0 to 6. Find the value of a that makes the following probability statements true. (a) P(X a) = 0.79 a = (d) Р(X > а) — 0.13 a = (e) P(2.61 < X < a) = 0.03 %3D
In which probability distribution would a random variable XX have E(X)=λE(X)=λ?
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Suppose a random variable az is best described by a uniform probability distribution with range 1 to 6 Find the value of a that makes the following probability statements true. (a) P(z ≤ a)-0.63 G= (b) P(r