First slide

Random variable and probability distribution

Question

In a Poisson variate $X,$ if $P (X = 0) = 0.2$ then the variance of the distribution is

Easy

A

2
B

1
C

e
D

$\log 5$

Solution

$\frac{e^{- λ} λ^{0}}{0!} = 0.2$
$e^{- λ} = 0.2 \Rightarrow λ = \log 5$

variance of the given distribution $= \log 5$

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