In: Statistics and Probability
A basketball player is practicing his free throws. This player's probability of making a free throw over his career is 0.592. He will shoot 140 free throws.
a) Define a random variable, and write out the probability mass function for the number of free throws this player makes on his 140 attempts.
b) What is the probability that this player makes between 60 and 62 free throws, inclusive?
c) What is the expected value and variance of the number of free throws this player will make during his practice session?