(a) What is the probability that the receiver gets a 0? (b) If the receiver gets a 0, what is the probability the transmitting system actually sent a 0?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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A transmitting system transmits 0's and l's. The probability of a correct
transmission of a 0 is 0.8, and it is 0.9 for a 1. We know that 45% of the transmitted
symbols are 0's.
(a) What is the probability that the receiver gets a 0?
(b) If the receiver gets a 0, what is the probability the transmitting system actually
sent a 0?
Ans: (a- 0.415, b- 0.867)
Transcribed Image Text:A transmitting system transmits 0's and l's. The probability of a correct transmission of a 0 is 0.8, and it is 0.9 for a 1. We know that 45% of the transmitted symbols are 0's. (a) What is the probability that the receiver gets a 0? (b) If the receiver gets a 0, what is the probability the transmitting system actually sent a 0? Ans: (a- 0.415, b- 0.867)
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