Let X be a Binomial Random Variable with parameters p = 2/3 and n = 5. Find the Cumulative Distribution Function Fy and the Probability Distribution Function fy of Y = X^2 - 5X.
Let X be a random variable with probability distribution function
fx(x) = { [(e^2 / (e^4-1)) * (e^x)], if x is an element of [-2, 2]
{ 0, if x is not an element of [-2, 2]
and let Y = x^2. Find the probability distribution function fy and the cumulative distribution function Fy of y.