Monitor three consecutive packets going through an internet router. Ba

shelbs624c

shelbs624c

Answered question

2021-12-05

Monitor three consecutive packets going through an internet router. Based on the packet header, each packet can be classified as either video (v) if it was sent from a YouTube server or as ordinary data (d). For example, two video packets followed by one data packet corresponds to vvd. Assume that v and data packets are equally likely, and they occur in an independent manner.
a) Calculate probability of observing the packets: vvd
b) Calculate the probability of observing 4v packets in 8 packets.

Answer & Explanation

kayleeveez7

kayleeveez7

Beginner2021-12-06Added 10 answers

P(v)=12  and  P(d)=12.


(a). Probability of observing the packets: d=P(d)
P(d)=P(v)P(v)P(d)=18 answer.

(b). Let X be a random variable representing number of v packets.
XBinomial(n,p),where n=8  and  p=12, with probability mass function
P[X=x]=(8x)(12)x(12)8x,x=0,1,...,8
Probability of observing 4v packets in 8 packets =P[X=4]=(84)(12)4(12)84=0.27344 answer.

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