A company has two types of machines (A and B) to manufacture the same exact product. The manufacturing time of each product is independent of the others and can be modeled as an exponential random variable with λA = 2 items per day for Machine A and λB = 3 items per day for Machine B. Assume the idle time of each machine to be zero. If the first 3 products are manufactured by machine A, what is the probability that the 4th item is manufactured by machine B?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A company has two types of machines (A and B) to manufacture the same exact product. The manufacturing time of each product is independent of the others and can be modeled as an exponential random variable with λA = 2 items per day for Machine A and λB = 3 items per day for Machine B. Assume the idle time of each machine to be zero. If the first 3 products are manufactured by machine A, what is the probability that the 4th item is manufactured by machine B?
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