Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

For a Poisson distribution, find $P(3)$, given $λ =\frac{1}{2}$.

Options:

0.010

0.013

0.08

1.002

Correct Answer:

0.013

Explanation:

The correct answer is Option (2) → 0.013

For a Poisson distribution,

$P(r) =\frac{λ^re^{-λ}}{r!}$

$P(3)=\frac{(\frac{1}{2})^3.e^{-0.5}}{3!}=\frac{\frac{1}{8}×0.607}{6}$   [$∵e^{-0.5}=0.607$, from table]

$=\frac{0.607}{48}= 0.013$