Question

In: Statistics and Probability

A company that manufactures cans reports that the number of process interruptions due to mechanical problems...

A company that manufactures cans reports that the number of process interruptions due to mechanical problems in its assembly line is a Poisson random variable with an average rate 1.5 times per shift (8-hour shifts).
a) What is the probability that the line will have problems twice during the night shift?


b) What is the probability that the line can operate for 3 consecutive shifts without interruptions?


c) What is the probability that the line will operate without interruption on at least 3 of the 5 days in a randomly chosen week? (each day consists of 3 shifts)

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