Sports and Leisure
The NCAA Men's and Women's Swimming and Diving Committee recently recommended a no recall false-start rule.35 This proposal means that unless a false start is blatant, the race will continue. The student-athlete committing the false start will be disqualified following the event. Suppose the probability of a false start in any swimming event is 0.07, and swimming events are selected at random.
a. What is the probability that the first false start will occur in the fourth event selected?
b. What is the probability that the first false start will occur after the 15th event selected?
c. What is the mean number of events selected before a false start occurs?
d. Suppose there are 26 events at a swimming and diving meet. What is the probability that the first false start will occur at this meet?