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4.3.6 Assume the Poisson distribution applies. Use the given mean to find the indicated probability Find P(4) when μ 5. P(4)- Round to the nearest thousandth as needed.) Enter your answer in the answer box and then click Check Answer All parts showing Clear All
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Answer #1

Solution :

Given that ,

mean = \mu = 5

P ( 4 ) = Probability exactly 4

x = 4

Using poisson probability formula,

P(X = x) = (e-\mu * \mu x ) / x!

P(X = ) = (e-5 * 54 / 4!

Probability = 0.1755

P ( 4 ) = 0.1755

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