Q6/ The number of failures for a cryogenics machine from contamination in biological samples is a Poisson random variable with a mean of 0.01 per 100 samples. (a) If the lab usually processes 500 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 500 participants? (assume one sample per participant.) Ans. (0.05, 0.9512)

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