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Question: a. Suppose that earthquakes occur in the western portion of the United States at a...

Question:

a. Suppose that earthquakes occur in the western portion of the United States at a Poisson rate of 3 per week. Find the probability that at least 4 earthquakes occur in the next week.

b. According to a survey, a university professor gets, on average, 70 emails per day. Let x(t) =  the number of emails a professor receives in t days. Find the probability a professor receives at least 160 emails in 2 days.

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