The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a mean of 0.012 failures per hour. (a) What is the probability that the instrument does not fail in an 8-hour shift? (b) What is the probability of at least 1 failure in a 24-hour day?

a) 0.9084

b) 0.2502

Step-by-step explanation:

We are given the following in the question:

The number of failures follows a Poisson distribution with mean

Formula:

a) probability that the instrument does not fail in an 8-hour shift

We have to evaluate:

0.9084 is the probability that the instrument does not fail in an 8-hour shift

b) probability of at least 1 failure in a 24-hour day

We have to evaluate:

0.2502 is the probability of at least 1 failure in a 24-hour day.

the correct answer to your question is a. 4^4

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