Phone calls arrive at the rate of 48 per hour at the reservation desk for Indian Airlines. Compute the probability of receiving exactly 10 calls in 15 minutes.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 0.1048
Given number of phone calls arrives per hour is 48.
Let random variable X be the number of phone calls in 15 minutes interval of time, then
$λ = 48 ×\frac{15}{60}⇒λ = 12$.
So, $P(X=10)=\frac{12^{10}e^{-12}}{10}=0.1048$