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 the 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 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
QUESTION 8 Assume that Z is a standard normal random variable, find the following probabilities: 3.1. P(1.80 sZ s2.50) 3.2. P(Zs3.60) 3.3. P(Zs2) 3.4. P(Z21) 3.5. P(Zs-1.80).
prob and stats
Question 2 2.1. Let Y,, Y, ., , be a random sample of size 4 from an exponential with parameters and ß = 2 2.1.1. Use the mgf to derive the probability distribution of the sample mean Y. 2.1.2. What is the expected value and the variance of the mean?
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 3: Discrete random variables Each bit transmitted through a channel has a 10% chance to be transmitted in error. Assume that the bits are transmitted independently. Let X denote the number of bits in error in the next 18 transmitted bits. Answer the following questions a) Find the probability that in the next 18 transmitted bits, at least 3 transmitted in error. b) Calculate the expected value, variance and standard deviation of X. c) Find the probability that X is within 1 standard deviation of its mean value.
Question 6: Binominal distribution ( A random variable X has the binominal distribution of X-Bin (12, 0.75) What is the Variance of X? Select one: a. 2.51 b. 2.25 c. Non of the answers d. 2
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 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?
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

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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