In a binary communication system a zero and a one are transmitted with probability 0.6 and 0.4

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Question:

In a binary communication system a zero and a one are transmitted with probability 0.6 and 0.4 respectively. Due to error in the communication system a zero becomes a one with a probability 0.1 and a one becomes a zero with a probability 0.08. Determine the probability
(i) of receiving a one and
(ii) that a one was transmitted when the received message is one.