Problem 7.2. Let the number of customers N who walk into Hooper's store on a given day be Poisson with variance 30. The probability that a particular customer is a monster is 2/3. The number of customers is independent from whether they are monsters or not. What is the probability that the total number of customers in a particular day is 25, given that the number of monster-customers equals 12?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 7.2.
Let the number of customers N who walk into Hooper's store on a
given day be Poisson with variance 30. The probability that a particular customer is a monster
is 2/3. The number of customers is independent from whether they are monsters or not.
What is the probability that the total number of customers in a particular day is 25, given
that the number of monster-customers equals 12?
Transcribed Image Text:Problem 7.2. Let the number of customers N who walk into Hooper's store on a given day be Poisson with variance 30. The probability that a particular customer is a monster is 2/3. The number of customers is independent from whether they are monsters or not. What is the probability that the total number of customers in a particular day is 25, given that the number of monster-customers equals 12?
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