document.write( "Question 523752: For a certain binary communication channel the probability that a transmitted '0' is received as '0' is 0.95 and the '1' is 0.90. if the probability that a '0' is transmitted is 0.4, find the probability that a '1' is received and a '1' is transmitted given that a '1' is received \n" ); document.write( "

Algebra.Com's Answer #347449 by edjones(8007) $\"\"$ $\"About$

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a) the probability that a '1' is received:
\n" ); document.write( "(.4*.05)+(.6*.9)
\n" ); document.write( "=.02+.54
\n" ); document.write( "=.56
\n" ); document.write( ".
\n" ); document.write( "b) a '1' is transmitted given that a '1' is received:
\n" ); document.write( ".54/.56 = 27/28 = .9643...
\n" ); document.write( ".
\n" ); document.write( "Ed \n" ); document.write( "

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