The number of packets arriving in a ISP's router in a given a millisecond is Poisson random variable with parameter λ=10. In this network, there are two kinds of packets (i.e., data packets and header packets) and each packet is received at the router independent of any other packets. You could assume that 80% arriving packets are data packets. Compute the conditional probability that at most one header packet is received at the router, given that 10 data packets arrived in a millisecond. Write down your answer to an accuracy of 2 decimal points.

The number of packets arriving in a ISP's router in a given a millisecond is Poisson random variable with parameter λ=10. In this network, there are two kinds of packets (i.e., data packets and header packets) and each packet is received at the router independent of any other packets. You could assume that 80% arriving packets are data packets. Compute the conditional probability that at most one header packet is received at the router, given that 10 data packets arrived in a millisecond. Write down your answer to an accuracy of 2 decimal points.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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