Question: Suppose that Roberto, a well-known major league baseball player, finished last season with a .325 batting average. He wants to calculate the probability that he will get his first hit of this new season in his first at-bat. You define a success as getting a hit and define the random variable X= the number of at-bats until Roberto gets his first hit.

a. what is the probability that Roberto will get a hit on his first at-bat (ie X=1)?
b. What is the probability that it will take him at most 3 at-bats to get his first hit?
c. what is the probability that it will take him more than 4 at-bats to get his first hit?
d. Roberto wants to know the expected number of at-bats until he gets a hit. What would you tell him?