Please solve the following Probability and Statistics problem (please double check solution and provide explanation): A binary communication channel carries data as one of two types of signals denoted by 0 and 1. Owing tonoise, a transmitted 0 is sometimes received as a 1 and a transmitted 1 is sometimes received as a 0. For agiven channel, assume a probability of 0.94 that a transmitted 0 is correctly received as a 0 and a probability0.91 that a transmitted 1 is received as a 1. Further assume a probability of 0.45 of transmitting a 0. If asignal is sent, determine 1. Probability that a 1 is received2. Probability that a 0 is received3. Probability that a 1 was transmitted given that a 1 was received4. Probability that a 0 was transmitted given that a 0 was received5. Probability of an error
Please solve the following Probability and Statistics problem (please double check solution and provide explanation):
A binary communication channel carries data as one of two types of signals denoted by 0 and 1. Owing to
noise, a transmitted 0 is sometimes received as a 1 and a transmitted 1 is sometimes received as a 0. For a
given channel, assume a probability of 0.94 that a transmitted 0 is correctly received as a 0 and a probability
0.91 that a transmitted 1 is received as a 1. Further assume a probability of 0.45 of transmitting a 0. If a
signal is sent, determine
1. Probability that a 1 is received
2. Probability that a 0 is received
3. Probability that a 1 was transmitted given that a 1 was received
4. Probability that a 0 was transmitted given that a 0 was received
5. Probability of an error
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