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.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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