Question: A binary code message is sent through an equipment with the probability of bit 1 correctly being received 8 0 % of the time. If

A binary code message is sent through an equipment with the probability of bit 1
correctly being received 80% of the time. If bit 0 is sent, it will be received
correctly 85% of the time. One sent message contains 65% of bit 1s and 35% of
bit 0s. Suppose this message is received as a bit 0, what is the probability that it
was actually sent as a 1?

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