Question 2: Bits 0 and 1 are transmitted independently from each other in proportion 1:4. Random noise may cause transmission failure. IF a 0 was transmitted, then the sink will receive a 0 with probability 0.8. If a 1 was transmitted, then the sink will receive a 1 with probability 0.9. 1) what is the probability that a received symbol be a "1"? 2) A "0" has been received, what is the probability that a "1" had actually been transmitted? 3) A "O" has been received. What is the probability that a "0" had actually been transmitted? transmitter receiver 0.8 0.1 0.2 →1 0.9 1,

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Question 2: Bits 0 and 1 are transmitted independently from each other in proportion 1:4.
Random noise may cause transmission failure. IF a 0 was transmitted, then the sink will
receive a 0 with probability 0.8. If a 1 was transmitted, then the sink will receive a 1 with
probability 0.9.
1) what is the probability that a received symbol be a "1"?
2) A "O" has been received, what is the probability that a "1" had actually been transmitted?
3) A "O" has been received. What is the probability that a "0" had actually been transmitted?
transmitter
receiver
0.8
0.1
0.2
0.9
1,
Transcribed Image Text:Question 2: Bits 0 and 1 are transmitted independently from each other in proportion 1:4. Random noise may cause transmission failure. IF a 0 was transmitted, then the sink will receive a 0 with probability 0.8. If a 1 was transmitted, then the sink will receive a 1 with probability 0.9. 1) what is the probability that a received symbol be a "1"? 2) A "O" has been received, what is the probability that a "1" had actually been transmitted? 3) A "O" has been received. What is the probability that a "0" had actually been transmitted? transmitter receiver 0.8 0.1 0.2 0.9 1,
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