The number of power outages at a nuclear power plant has a Poisson distribution with a mean of 6 outages per year. [Answer to 4 decimal places] a) The probability that there will be exactly 3 power outages in a year is b) The probability that there will be more than 3 power outage in a year is c) The probability that there will be more than 1 and less than 3 power outages in a year is d) The probability that there will be exactly 3 power outages in 6 months is
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Step 2: Substitute X = 3 and mean value = 6 into the Poisson distribution formula. Step 3: Calculate the probability using the formula: \( P(X=3) = \frac{6^3 e^{-6}}{3!} \) Step 4: Compute the probability to get \( P(X=3) = 0.0892 \) Step 1: Calculate the Show more…
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