PROBLEM 2. The continuous random variable Y has cumulative density function F(y) given by 0 y

PROBLEM 2. The continuous random variable Y has cumulative density function F(y) given by y3+Y2 F(y) Sketch F(y) for 0 y 10. y/8+2/8 1 < y s 4 16 1 otherwise (a) (b) (c) Compute the PDF of Y and verify that the PDF and CDF are valid density functions. Compute the probability that 2 y 7.