In a communication system the signal sent from point a to point b arrives by two paths in parallel. For path 1, the signal passes through two repeaters ( in series ). Each repeater has probability of failing ( becoming an open circuit ) of 0.1 . For path 2, the signal passes through one repeater with a probability of failing of 0.08. All repeaters fail independently of each other. Find the probability that the signal will not arrive at point b.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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4
In a communication system the
signal sent from point a to point b
arrives by two paths in parallel. For
path 1, the signal passes through two
repeaters (in series ). Each repeater
has probability of failing ( becoming
an open circuit ) of 0.1 . For path 2,
the signal passes through one
repeater with a probability of failing
of 0.08 . All repeaters fail
independently of each other. Find the
probability that the signal will not
arrive at point b.
0.0152
0.016
0.008
0.09
Transcribed Image Text:4 In a communication system the signal sent from point a to point b arrives by two paths in parallel. For path 1, the signal passes through two repeaters (in series ). Each repeater has probability of failing ( becoming an open circuit ) of 0.1 . For path 2, the signal passes through one repeater with a probability of failing of 0.08 . All repeaters fail independently of each other. Find the probability that the signal will not arrive at point b. 0.0152 0.016 0.008 0.09
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