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The mean number of visitors at a national park in one weekend is 52. Assume the variable follows a poisson distribution. Find the probability that there will be 58 visitors at this park in one weekend. That is, find P(X=58)

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Answer:

0.0374722

Step-by-step explanation:

Given that :

μ = 52

x = 58

P(x, μ) = (e^-μ) * (μ^x)/ x!

P(58, 52) = ((e^-52) * (52^58)) / 58!

P(58, 52) = [(2.6102E−23 * 3.37437E99) / 2.35056E78]

P(58, 52) = 8.80807E76 / 2.35056E78

P(58, 52) = 0.0374722

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