Answer to Question #200693 in Statistics and Probability for Bazin

Question #200693

Interarrival time of mails are exponentially with a mean 10 minutes what is the probability 5 mails arrive in 20 minutes?


1
Expert's answer
2021-06-07T18:43:54-0400

Given λ=1/10=0.1\lambda=1/10=0.1


P(x205)=1e0.1(4)0.3297P(x\leq\dfrac{20}{5})=1-e^{0.1(4)}\approx0.3297

The probability 5 mails arrive in 20 minutesn is 0.3297.0.3297.



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