Question

3. Suppose users share a 1 Mbps link. Also suppose each user requires 100kbps when transmitting, but each user transmits only 10 percent of the time. 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 40 users. Find the probability that at any given time, exactly n users are transmitting simultaneously. d. Find the probability that there are or more users transmitting simultaneously.
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Answer #1

a)
Given,
Users share a link = 1 Mbps
Each user requires = 100kbps

So,Number of users can be supported = 1Mbps/100 kbps = 1000/100 = 10 users.

For all 10 users their is a dedicated 100kbps each.

b)
Given,each user transmits only 10 percent of the time.
So,Probability is 0.1 (i.e,due to 10%)

c)
Given,
Users = 40 and
Exactly "n" users are transmitting simultaneously.

By using Binomial distrbution

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