Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

For a Poisson distribution, find $P(2)$, given $λ = 1$.

Options:

0.232

0.184

0.152

1.025

Correct Answer:

0.184

Explanation:

The correct answer is Option (2) → 0.184

For a Poisson distribution,

$P(r) =\frac{λ^re^{-λ}}{r!}$

$P(2)=\frac{1^2.e^{-1}}{2!}=\frac{0.368}{2}$  [$∵e^{-1}=0.368$, from table]

$= 0.184$