Problem 4.3 Let Y denote a random variable with continuous df F(y) defined below. F(y)=0, y 0, F(y) = y3/8, 0 < y

Problem 4.3 Let Y denote a random variable with continuous df F(y) defined below. F(y)=0, y ≤ 0, F(y) = y3/8, 0 2.

(a) Graph F(y) for all y.

(b) Compute P(0.2 0.6).

(c) Compute the pdf f(y) for all y and sketch its graph.

Problem 4.6 Consider the function F(x) = 1/(1+ exp(-2)), -