The number of hits on a certain website follows a Poisson distribution with a mean rate of 4 per minute.
a. What is the probability that 5 hits are received in a given minute?
b. What is the probability that 9 hits are received in 1.5 minutes?
c. What is the probability that fewer than 3 hits are received in a period of 30 seconds?
(a) Let X be the number of hits in one minute. Since the mean rate is 4 messages per minute,X ~ Poisson(4).
(b) Let X be the number of hits in 1.5 minutes. Since the mean rate is 4 messages per minute, X ~ Poisson(6).
(c) Let X be the number of hits in 30 seconds. Since the mean rate is 4 messages per minute, X ~ Poisson(2).
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