In a Poisson distribution, mean = variance. If the mean is 4, the probability of exactly 2 occurrences is: MCQ with Answer and Explanation

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In a Poisson distribution, mean = variance. If the mean is 4, the probability of exactly 2 occurrences is:

A. 0.2

B. e^{-4} 4^2 / 2! ≈ 0.1465

C. 0.3

D. 0.1

Answer: Option B

Solution (By JKExamLibrary)

P(X=2) = e^{-4} × 16 / 2 = 8 e^{-4} ≈ 8×0.0183=0.1465.

This question belongs to: Accountancy and Statistics Statistics

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