First slide

Random variable and probability distribution

Question

In a poisson distribution, P(x=1)=P(x=2)=k then k =

Easy

A

_{$\frac{2}{e^{2}}$}
B

1/e
C

e
D

_$\sqrt{e}$

Solution

$\begin{matrix} W e h a v e λ = 2 \\ ∴ k = P (X = 1) = \frac{e^{- 2} 2^{1}}{1!} = \frac{2}{e^{2}} \end{matrix}$

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