Suppose the numbers of times that vending machine A and vending machine B are out of order in a month follow Poisson distributions with means 1 and 2 respectively. Find the probabilities that (a)  both vending machines A and B are out of order for 3 times in a month, (b)  exactly one vending machine is out of order once in a month, (c)  both vending machines A and B work properly for 2 consecutive months. (Give your answers correct to 3 significant figures.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Suppose the numbers of times that vending machine A and vending machine B are out of order in a month follow Poisson distributions with means 1 and 2 respectively. Find the probabilities that

(a)  both vending machines A and B are out of order for 3 times in a month,

(b)  exactly one vending machine is out of order once in a month,

(c)  both vending machines A and B work properly for 2 consecutive months.

(Give your answers correct to 3 significant figures.)

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