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Suppose you have a binary symmetric channel. You transmit x and receive y and decode from y your best estimate of x, xhat and we

Suppose you have a binary symmetric channel.

You transmit x and receive y and decode from y your best estimate of x, xhat and we go directly to the bit representation.

Recall that P(A|B) is probability of A given we know B.

P(xhat=1|x=1)=.9

P(xhat=0|x=1)=.1

P(xhat=0|x=0)=.9

P(xhat=1|x=0)=.1

What is the probability that in a frame of 5 bits 1 or more are in error?

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