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QUESTION

Suppose the number of meteors hitting earth is modeled by a Poisson process (Nt)t0 with parameter = 5 (meteors / hour) where t is in hours.

Suppose the number of meteors hitting earth is modeled by a Poisson process (Nt)t≥0 with parameter λ = 5 (meteors / hour) where t is in hours.

(a) What is the probability that during the 1 hour you are in this class, 2 or more meteors hit the earth?

(b) What is the conditional probability that during the 1 hour you are in this class, 2 or more meteors hit the earth given that 1 or more meteors hit the earth?

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