Earthquakes in Sumatra occur according to a Poisson process of rateλ= 2/year. Condi-tioned on the event that exactly two earthquakes take place in a year, what is the probabilitythat both earthquakes occur in the first three months of the year? (for simplicity, assume allmonths have 30 days, and each year has 12 months, i.e., 360 days)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Earthquakes in Sumatra occur according to a Poisson process of rateλ= 2/year. Condi-tioned on the event that exactly two earthquakes take place in a year, what is the probabilitythat both earthquakes occur in the first three months of the year? (for simplicity, assume allmonths have 30 days, and each year has 12 months, i.e., 360 days).

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