5.42 Industrial accidents. A large manufacturing plant has averaged seven "reportable accidents" per month. Suppose that accident counts over time follow a Poisson distribution with a mean of seven per month. What is the probability of exactly seven accidents in a month? What is the probability of seven or fewer accidents in a month?
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Step 1
Step 1: Calculate the probability of exactly seven accidents in a month using the Poisson distribution formula: \[ P(X = 7) = \frac{e^{-7} \cdot 7^7}{7!} \] Show more…
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