1. Strikes in a factory occur according to a Poisson process at a mean rate of 2 per year (we assume a year to be exactly 52 weeks). (a) Find the probability that there is exactly one strike in the first 4 weeks and exactly 3 strikes in the subsequent 13 weeks. (b) What is the probability that at least 2 strikes occur in 13 weeks? (c) How many strikes are expected to occur in 2 years?

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1. Strikes in a factory occur according to a Poisson process at a mean rate of 2 per year
(we assume a year to be exactly 52 weeks).
(a) Find the probability that there is exactly one strike in the first 4 weeks and exactly
3 strikes in the subsequent 13 weeks.
(b) What is the probability that at least 2 strikes occur in 13 weeks?
(c) How many strikes are expected to occur in 2 years?
Transcribed Image Text:1. Strikes in a factory occur according to a Poisson process at a mean rate of 2 per year (we assume a year to be exactly 52 weeks). (a) Find the probability that there is exactly one strike in the first 4 weeks and exactly 3 strikes in the subsequent 13 weeks. (b) What is the probability that at least 2 strikes occur in 13 weeks? (c) How many strikes are expected to occur in 2 years?
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