Question: Let X and Y be as defined in Problem 1. Also, suppose that we are given that Y = 1. a. Find the conditional PMF

Let X and Y be as defined in Problem 1. Also, suppose that we are given that Y = 1.

a. Find the conditional PMF of X given Y = 1. That is, find P_X|Y (x|1).

b. Find E[X|Y = 1].

c. Find V ar(X|Y = 1).

Problem 1

Consider two random variables X and Y with joint PMF given in Table 5.4 Joint PMF of X and Y in Problem 1 X = 1 X = 2 X = 4 Y = 1 WIT 1 1 Y = 2 1 12 0 -13

X = 1 X = 2 X = 4 Y = 1 WIT 1 1 Y = 2 1 12 0 -13

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