please answer the question in the attached picture with work shown, thanks!#4 D, E 4 A fair die is rolled. Let Y be the face value show ing,1, 2, 3, 4, 5, or 6 with each having the probability % ofoccurpring, Let X be another random variable, given bySY if Y is evenニO if Y is odd,ha) Find E(Y),46) what is the probability distribution for X? Find E(x).4c) Find the conditional probabity distribution of Ygiven each X,4d) Find the conditional expected value of Y given eachvalde of X, ECYI x).Le) Find the probabilits distribution of Z= XY. (Hint:fy (a) = fey (x, y) (joint paf)こ

4 A fair die is rolled. Let Y be the face value show ing, 1, 2, 3, 4,5, or 6 with each having the probability of occurring, Let X be another random variable, gíven by SY if Y is even X= {0 if Y is odd. 4a) Find ECY), 44) what is the probability distribution for X? Find ECX). 4c) Find the conditional probabily distribution of Y given each X, 4d) Find the conditional expected value of Y given each value of X, ECY|X). 4e) Find Hhe probability distribution of Z=XY. (Hint: (x3) = {, (x, y) (joint paf)

4 A fair die is rolled. Let Y be the face value show ing, 1, 2, 3, 4,5, or 6 with each having the probability of occurring, Let X be another random variable, gíven by SY if Y is even X= {0 if Y is odd. 4a) Find ECY), 44) what is the probability distribution for X? Find ECX). 4c) Find the conditional probabily distribution of Y given each X, 4d) Find the conditional expected value of Y given each value of X, ECY|X). 4e) Find Hhe probability distribution of Z=XY. (Hint: (x3) = {, (x, y) (joint paf)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter12: Probability

Section12.4: Discrete Random Variables; Applications To Decision Making

Problem 1E

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