John is preparing for an intercollegiate competition in disc

John is preparing for an intercollegiate competition in discus. In each throw he gets a distance X that his friend Van has shown to have the PDF Assume that John throws the discus 36 times. Let Y denote the sum of the lengths of the 36 jumps. What is the expected value of F? What is the variance of F? What is the PDF of F? What is the probability that Y lies between 2200 ft and 2500 ft?