If the pdf of a Poisson distribution is given by f(x) = (e-22x)/x!, then its…
2009
If the pdf of a Poisson distribution is given by f(x) = (e-22x)/x!, then its mean is
- A.
2x
- B.
2
- C.
-2
- D.
1
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Correct answer: B
The probability mass function of a Poisson distribution is given by P(X=x) = (e^-λ * λ^x)/x!, where λ is the mean. Comparing this to the given function f(x) = (e^-2 * 2^x)/x!, we identify λ = 2. Thus, the mean of the distribution is 2.