Question #2564

The time between shots at goal in a football (soccer) game, X, has an exponen-
tial distribution with a mean of 9 shots every twenty minutes. Determine the
following
a)What is the probability of the time between shots being greater than 5 minutes?
b) What is the probability of more than 20 shots in 40 minutes?
c) In 6 non-overlapping 5 minute intervals, what is the probability of at least
one 5 minute period with no shots at goal?

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