3. Reconsider problem 3 of section 4.2. (a) Find the conditional probability density of X given Y...

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3. Reconsider problem 3 of section 4.2.

(a) Find the conditional probability density of X given Y , fX|Y (x | y).

(b) Find the cumulative probability density of X given Y , FX|Y (x | y).

(c) Use your answer to

(a) and

(b) to address the question of whether X and Y are independent.

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