Answer to Question #350961 in Statistics and Probability for sergu

Question #350961

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.

1
Expert's answer
2022-06-16T10:23:14-0400

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

Given λt=5.\lambda t=5.


P(X=0)=e5(5)00!=e50.006738P(X=0)=\dfrac{e^{-5}(5)^0}{0!}=e^{-5}\approx0.006738


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