Currently reviewing a lecture problem, it would be greatly appreciated if you answer fully, thank you!

Let X be a random variable with probability density function f(x) = 05 x 500 0 otherwise a. Compute the cumulative distribution function F(c), where F(x) = Prob(X 0, compute Prob(X > x0). c. For any co > 0 and 21 > 0, compute the conditional probability Prob(X > xo +xX > x1)