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)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 21E
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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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