QUESTION 12A random variable X has the following distribution:X-101P(X=x)3.5.2Let Y=X². Find the expected value of random variable Y..38.60.54

The objective of this question is to find the expected value of a new random variable Y, where Y is…

Answered: QUESTION 12 A random variable X has the…

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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QUESTION 12 A random variable X has the following distribution: X -1 0 1 P(X=x) 3 .5 .2 Let Y=X². Find the expected value of random variable Y. .38 .6 0.5 4
QUESTION 5 Сopy of Two discrete independent random variables X and Y are such that X can take values 2,3,5 and Y can take values 0 and 1 onlue. Fill in the joint probability distribution table below, knowing the distributions of X and Y given as marginal distribution over the last row (for X) and last column (for Y). X=2 X=3 X=5 P(Y=y) Y=0 0.4 Y=1 0.6 P(X=x) 0.2 0.6 0.2
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Question 12 The random variable X has a binomial distribution with n= 20 and p = 0.01. What is the mean and Variance of X? 0.2 and 0.198 2 and 198 0.1 and 0.099 None
prob and stats
Question 7 Z is a standard normal random variable. The P(1.20 szs1.75) equals a. 0.3849 b. 0.4678 O c. 0.075 O d. 0.0829
Question 6: If the random variable X has a normal distribution with mean 40 and std. dev. 5, calculate the following probabilities. Р(X > 43), P(X 23).
Question 9 According to a study, the salaries of registered nurses are normally distributed with a mean of 55770 dollars and a standard deviation of 6955 dollars. Let X be the salary of a randomly selected registered nurse. 1. Describe the probability distribution of X and state its parameters and o: (μ: X Select an answer Select an answer B IZ XLIN Z 2. Find the probability that the salary of a randomly selected registered nurse is a. less than 71106 dollars. b. between 35101 and 48927 dollars. c. more than 71605 dollars. σ= (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) (Round the answer to 4 decimal places) 3. Find the 55-th percentile for the salaries of registered nurses. decimal place) dollars (Round the answer to 1
Question 30 A randomly selected realtor's monthly commission (in thousands) can be estimated by a random variable that follows F-distribution with parameters (14,4). Let X be the monthly commission of a randomly selected realtor. 1. Describe the distribution of X: (dfn= 14 2. Use the random variable notation to express symbolically each of the following: P(X<7.9) The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.9. X-F X<7.1 An event in which the monthly commission (in thousands) of a randomly selected realtor is less than 7.1. P(X<13.1)=0.99 The probability of an event in which the monthly commission (in thousands) of a randomly selected realtor is less than 13.1 is equal to 0.99. ii. more than 7.9: 3. Use technology to find the probability that the monthly commission (in thousands) of a randomly selected realtor is: i. less than 7.1: iii. between 0.4 and 8: iv. more than 72.4: v. less than 98.3: 4. Find the 11-th…
QUESTION 12 A random variable X has the following distribution: X -1 0 1 P(X=x) 3 .5 .2 Let Y=X². Find the expected value of random variable Y. .38 .6 0.5 4
QUESTION 1 Let X be a normal random variable with mean u = 68 and standard deviation o =11. What is the probability that Xwill be (a). more than 79? (b). between 57 and 79? (c), less than 46?

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QUESTION 12 A random variable X has the following distribution: X -1 0 1 P(X=x) 3 .5 .2 Let Y=X². Find the expected value of random variable Y. .38 .6 0.5 4