Q1: 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 wd. 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.

Q1: 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 wd. 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.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Q1:
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
vd. 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.

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