1-7.5 A communication network has five links as shown below. A 3 B The probability that each link is working is 0.9. What is the probability of being able to transmit a message from point A to point B?

1-7.5 A communication network has five links as shown below. A 3 B The probability that each link is working is 0.9. What is the probability of being able to transmit a message from point A to point B?

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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But change the problem as follows: The probability that each link is working is 0.95. Also, if the message was transmitted successfully, what is the probability that the middle link was working? (Hint: Messages get sent through all three paths. At least one of the three paths must be successful in order for B to receive the message.)

1-7.5 A communication network has five links as shown below.
A
3
2
B
The probability that each link is working is 0.9. What is the probability of being able
to transmit a message from point A to point B?

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Step 1: The probability of working path formula is; z=(x-mu)/sigma

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