Question: Let X and Y be two jointly continuous random variables with joint pdf: f(x, y) = 8xy for 0 < x < y < 1

Let X and Y be two jointly continuous random variables with joint pdf:

f(x, y) = 8xy for 0 < x < y < 1

a. Find the conditional pdf f(x|y).

b. Find the probability P(X<0.5 | Y=0.5).

c. Determine whether X and Y are independent.

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