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JEE MATHEMATICS MCQ: STATISTICS

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Application +4 | -1
If a variable takes values 0,1,2,3…0,1,2,3 \ldots with frequencies proportional to e−λ,e−λλ,e−λλ22!,e−λλ33!,…e^{-\lambda}, e^{-\lambda} \lambda, \frac{e^{-\lambda} \lambda^2}{2 !}, \frac{e^{-\lambda} \lambda^3}{3 !}, \ldots then the mean of the distribution is
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Correct option: B
λ\lambda
Option B (λ) is correct because the mean of the Poisson distribution is equal to its parameter λ.

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