Dear Tutor,

I am studying statistical analysis.

Can you please give me a detailed step by ste approach how to solve this exercise?

I got the answer key, but I do not know how to get these numbers & do the calculations:

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Answer key:

E(XIY= 1) = 3/4

E(XIY= -1) = 1/4

for y=1 E(X^2 + 1I Y) =13/8

for y = -1 E(X^2 + 1I Y) =13/8

E(XIY^2 +1) = E(X) = 1/2

Screenshot of exercise:

4. (Total 10 points) Let the sample space be 2 = [0, 1], and the probability on 2 be given by the uniform distribution. We define random variables X and Y by 1, 0