The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a mean of 0.02 failure per hour. e f(x) x = 0,1,2,.. %3D x! i. What is the probability that the instrument does not fail in a 48 hour shift? What is the probability of at least one failure in a 24 hour shift?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The number of failures of a testing instrument from contamination particles on the
product is a Poisson random variable with a mean of 0.02 failure per hour.
f(x) =
x!
x = 0, 1,2, ...
i What is the probability that the instrument does not fail in a 48 hour shift?
ii. What is the probability of at least one failure in a 24 hour shift?
Transcribed Image Text:The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a mean of 0.02 failure per hour. f(x) = x! x = 0, 1,2, ... i What is the probability that the instrument does not fail in a 48 hour shift? ii. What is the probability of at least one failure in a 24 hour shift?
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