A professional soccer player succeeds in scoring a goal on 89% of his penalty kicks. Assume that the success of each kick is independent. (a) In a series of games, what is the probability that the first time he fails to score a goal is on his
fifth penalty kick?
(b) What is the probability that he scores on 4 or fewer of his next 10 penalty kicks?
(c) Suppose that our soccer player is out of action with an injury for several weeks. When he
returns, he only scores on 4 of his next 10 penalty kicks. Is this evidence that his success rate
is now less than 89%? Explain.