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If a random variable $X$ follows the Poisson distribution with variance 3 , then $P(X=r)$ is maximum, when $r=$
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The correct answer is:
$2$
It is given that for a random variable $X$, the
poisson distribution with variance 3 .
So, $\lambda=3$ and we know that,
$P(X=r)=\frac{3^r e^{-3}}{r !}$
and $P(X=r)$ will be maximum for some $r \in[2,3]$ From given option $r=2$
poisson distribution with variance 3 .
So, $\lambda=3$ and we know that,
$P(X=r)=\frac{3^r e^{-3}}{r !}$
and $P(X=r)$ will be maximum for some $r \in[2,3]$ From given option $r=2$
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