The number of failures for a cytogenics machine from contamination in biological samples is a Poisson random variable with a mean of 0.02 per 90 samples. a. If the lab usually processes 300 samples per day, what is the expected number of failures per day? b. What is the probability that the machine will not fail during a study that includes 700 participants? (Assume one sample per participant.)

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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The number of failures for a cytogenics machine from contamination in biological samples is a Poisson random variable with a mean of 0.02 per 90 samples.
a. If the lab usually processes 300 samples per day, what is the expected number of failures per day?
b. What is the probability that the machine will not fail during a study that includes 700 participants? (Assume one sample per participant.)

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