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Events occur according to a poisson process with rate 4


Events occur according to a Poisson process with rate = 4 per hour.

(a) What is the probability that 2 or more events occur in the first 30 minutes?

(b) What is the probability that exactly 5 events occur in the first 90 minutes?

(c) What is the expected value of the number of events that occur in the first 6 hours?

(d) What is the expected length of time required for 8 events to occur?

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