The cumulative distribution function of a random variable X is

F(x)={0, x less than -1 . (x+2)/8 ,-1 less than or = x less than 1 . 1/2 ,1 less than or = x less than 2. (2x+1)/8 ,2less than or = x less than 3. 1 greater than or = 3

Find the

1. [13 pts] find the mean value of X.
2. [12 pts] clearly sketch the probability density function of Y=(2X+3).