EBK COMPUTER NETWORKING
7th Edition
ISBN: 8220102955479
Author: Ross
Publisher: PEARSON
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Textbook Question
Chapter 1, Problem P8P
Suppose users share a 3 Mbps link. Also suppose each user requires 150 kbps when transmitting, but each user transmits only 10 percent of the time. (See the discussion of packet switching versus circuit switching in Section 1.3.)
- a. When circuit switching is used, how many users can be supported?
- b. For the remainder of this problem, suppose packet switching is used. Find the probability that a given user is transmitting.
- c. Suppose there are 120 users. Find the probability that at any given time, exactly n users are transmitting simultaneously. (Hint: Use the binomial distribution.)
- d. Find the probability that there are 21 or more users transmitting simultaneously.
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Suppose users share a 3 Mbps link. Also suppose each user requires 150 kbps when transmitting, but each user transmits only 10 percent of the time. (See the discussion of packet switching versus circuit switching in Section 1.3.)
a. When circuit switching is used, how many users can be supported?
b. For the remainder of this problem, suppose packet switching is used. Find the probability that a given user is transmitting.
c. Suppose there are 120 users. Find the probability that at any given time, exactly n users are transmitting simultaneously. (Hint: Use the binomial distribution.)
d. Find the probability that there are 21 or more users transmitting simultaneously.
Suppose users in a network share a 4 Mbps communication link and each user requires 125 kbps when transmitting. However, each user transmits only 20 percent of the time. Suppose there are 30 users and packet switching is employed. Find the probability that at any given, there are 17 or more users transmitting simultaneously.
Suppose users share a 2 Mbps link. Also suppose each user transmits continuously at 1 Mbps when transmitting, but each user transmits only 20 percent of the time. (See the discussion of statistical multiplexing in Section 1.3.)
a. When circuit switching is used, how many users can be supported?
b. For the remainder of this problem, suppose packet switching is used. Why will there be essentially no queuing delay before the link if two or fewer users transmit at the same time? Why will there be a queuing delay if three users transmit at the same time?
c. Find the probability that a given user is transmitting.
d. Suppose now there are three users. Find the probability that at any given time, all three users are transmitting simultaneously. Find the fraction of time during which the queue grows.
Chapter 1 Solutions
EBK COMPUTER NETWORKING
Ch. 1 - What is the difference between a host and an end...Ch. 1 - The word protocol is often used to describe...Ch. 1 - Why are standards important for protocols?Ch. 1 - Prob. R4RQCh. 1 - Prob. R5RQCh. 1 - Prob. R6RQCh. 1 - Prob. R7RQCh. 1 - Prob. R8RQCh. 1 - Prob. R9RQCh. 1 - Prob. R10RQ
Ch. 1 - Prob. R11RQCh. 1 - What advantage does a circuit-switched network...Ch. 1 - Prob. R13RQCh. 1 - Prob. R14RQCh. 1 - Prob. R15RQCh. 1 - Prob. R16RQCh. 1 - Prob. R17RQCh. 1 - Prob. R18RQCh. 1 - Suppose Host A wants to send a large file to Host...Ch. 1 - Prob. R20RQCh. 1 - Prob. R21RQCh. 1 - Prob. R22RQCh. 1 - What are the five layers in the Internet protocol...Ch. 1 - Prob. R24RQCh. 1 - Prob. R25RQCh. 1 - Prob. R26RQCh. 1 - Prob. R27RQCh. 1 - Prob. R28RQCh. 1 - Equation 1.1 gives a formula for the end-to-end...Ch. 1 - Prob. P3PCh. 1 - Prob. P4PCh. 1 - Prob. P5PCh. 1 - This elementary problem begins to explore...Ch. 1 - Prob. P7PCh. 1 - Suppose users share a 3 Mbps link. Also suppose...Ch. 1 - Prob. P9PCh. 1 - Prob. P10PCh. 1 - In the above problem, suppose R1 = R2 = R3 = R and...Ch. 1 - Prob. P13PCh. 1 - Consider the queuing delay in a router buffer. Let...Ch. 1 - Prob. P15PCh. 1 - Prob. P16PCh. 1 - Prob. P17PCh. 1 - Prob. P20PCh. 1 - Prob. P21PCh. 1 - Prob. P22PCh. 1 - Prob. P23PCh. 1 - Prob. P24PCh. 1 - Prob. P25PCh. 1 - Prob. P26PCh. 1 - Prob. P27PCh. 1 - Prob. P28PCh. 1 - Prob. P29PCh. 1 - Prob. P30PCh. 1 - Prob. P31PCh. 1 - Prob. P32PCh. 1 - Prob. P33PCh. 1 - Prob. P34P
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