The joint density function of the continuous random variables X and Y is expressed below. Find: (a) the value of the constant c, (b) P(X < 0.5, Y > 0.2). cx2 (y+1)3, for 0.2 < x < 0.7, 0.1 < y < 0.5, [cx² (y f(x, y) = 0, otherwise

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A: The conditional probability is defined as :   P(X|Y) = P(X,Y=y)P(Y=y)

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Q: 2. Let X and Y be two independent exponential random variables with parameters both equal to 3. (a)…

A: X and Y are independent.