The Exponential Distribution (Optional) · Exercise 38
In major league baseball, a no-hitter is a game in which a pitcher, or pitchers, doesn't give up any hits throughout the game. No-hitters occur at a rate of about three per season. Assume that the duration of time between no-hitters is exponential.
(a) What is the probability that an entire season elapses with a single no-hitter?
(b) If an entire season elapses without any no-hitters, what is the probability that there are no no-hitters in the following season?
(c) What is the probability that there are more than three no-hitters in a single season?
OpenStax, Statistics · §5.3 The Exponential Distribution (Optional) · Exercise 38
No hints for this one.
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