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.

0.1048

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, $P(X=10)=\frac{12^{10}e^{-12}}{10}=0.1048$