Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Probability Distributions

Question:

Between 3 p.m. and 5 p.m. the average number of phone calls per minute coming into the helpline desk of a bank is 5. The probability that during one particular minute there will be only one phone call is :

Options:

$0.5e^{-5}$

$5e^{-5}$

$e^{-5}$

$25e^{-5}$

Correct Answer:

$5e^{-5}$

Explanation:

The correct answer is Option (2) → $5e^{-5}$

The probability Mass function is,

$PMF(X=k)=\frac{e^{-λ}λ^k}{k!}$

$=\frac{e^{-5}5^{1}}{1!}=5e^{-5}$