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.

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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.
Answer:
X
The correct answer is: 0.41
Transcribed Image Text: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. Answer: X The correct answer is: 0.41
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