Phone calls arrive at the rate of 48 per hour at the reservation desk for Indian Airlines. Compute the probability of receiving three calls in a 5 minutes interval of time.

0.192

The correct answer is Option (3) → 0.192

Given number of phone calls arrives per hour is 48.

Let random variable X be the number of phone calls in 5 minutes interval of time, then

$λ = 48 ×\frac{5}{60}⇒λ=4$.

So, $P(X=3)=\frac{4^3e^{-4}}{3}=\frac{64 × 0.018}{6}= 0.192$