Please provide a well explained, correct solution for the following

The cumulative distribution function (cdf) of a continuous random varaible X is defined as 3. F (x) = 1 if 0 and F (x) = O if x < O. Find (a) > 12) Let Y be a continuous random variable with the probability density function fy(y) = 4. c(y2 + 1) if 1 y 6 and fy (y) = O otherwise. (a) Find the value of c for which fy(y) is a pdf. (b) Find = 10). (c) Find Y 5). (d) Find < Y < 5).