Answer to Question #350961 in Statistics and Probability for sergu

Question

4. Number of calls coming to customer care of mobile company per minute is a poisson random variable with mean 5. Find the probability that no calls are in certain minute.

Answer 1

Let $X=$ number of calls coming to customer care of mobile company per minute: $X\sim Po(\lambda t).$

Given $\lambda t=5.$

$$P(X=0)=\dfrac{e^{-5}(5)^0}{0!}=e^{-5}\approx0.006738$$