Answer to Question #159632 in Statistics and Probability for Tharindu

Question

phone call arrive at the rate of 48 per our at the reservation desk for sri lankan airways.Find the probability of receiving three call in a five minute interval of time

Answer 1

Poisson distribution:

$P(X=x) = \frac{e^{-λ}λ^x}{x!} \\ λ = \frac{48}{60} = 0.8 \; calls \; per \;min \\ λ = 0.8 \times 5 = 4 \;calls \;per 5 \; min \\ P(X=3) = \frac{e^{-4} \times 4^3}{3!} = 0.1954$

Answer: 0.1954