Exercise 3 O A telephone connection between s and t can be established if there is at least one closed path between S and T. Figure shows possible interruption of an edge that may arise from cable break or exceeded capacity of channel. Switches operate independently and is closed with probability p. o 1) what is the probability wip) that there is a phone connection between s and t12 o 2) draw graph of wip) as a function of p, Ospsl >T

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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Exercise 3
o A telephone connection between s and t can be established if
there is at least one closed path between S and T. Figure shows
possible Interruption of an edge that may arise from cable
break or exceeded capacity of channel. Switches operate
independently and is closed with probablity p.
o 1) what is the probability w(p) that there is a phone connection
between s and t?
o 2) draw graph of w(p) as a function of p, 0Osps1
C
C
Guide
C3 fails
C3
C3 is working
Cs
C
Factor (condition)
on C3
Transcribed Image Text:Exercise 3 o A telephone connection between s and t can be established if there is at least one closed path between S and T. Figure shows possible Interruption of an edge that may arise from cable break or exceeded capacity of channel. Switches operate independently and is closed with probablity p. o 1) what is the probability w(p) that there is a phone connection between s and t? o 2) draw graph of w(p) as a function of p, 0Osps1 C C Guide C3 fails C3 C3 is working Cs C Factor (condition) on C3
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