A discrete random variable Y has the following probability m

A discrete random variable Y has the following probability mass function f(y) = c(y - 3)2 for y = -2, -1, 0, 1, 2 where c is a constant. Find the value of c that make f a probability mass function. Give the cumulative distribution function of Y. Find the expected value of Y. Find the variance of Y. Let X = 1/6Y2 + 2.1Y + 3.4, find the expected value of X.