Question: Let X and Y have joint density function 0,0 < y < e 1. style= class=fr-fic fr-dib> (a) Find and describe the conditional

Let X and Y have joint density function

f(x, y) = e- 0,0 < y < e – 1. " style="" class="fr-fic fr-dib">

(a) Find and describe the conditional distribution of X given Y = y.
(b) Find E[X|Y = y] and E[X|Y].
(c) Find E[X] in two ways: 

(i) Using the law of total expectation,

(ii) Using the distribution of X.

f(x, y) = e-"(+1), x > 0,0 < y < e 1.

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