document.write( "Question 1200587: An n-byte message is being sent. For greater reliability, k independent information transmission channel is used.
\n" ); document.write( "What is the probability that at least one channel receives an undistorted message if the probability of a byte being scrambled on each channel is p? (p = 0.23, n = 9, k = 3)
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Algebra.Com's Answer #834767 by ikleyn(52781)\"\" \"About 
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\n" ); document.write( "An n-byte message is being sent. For greater reliability, k independent information
\n" ); document.write( "transmission \"highlight%28cross%28channel%29%29\" channels \"highlight%28cross%28is%29%29\" are used.
\n" ); document.write( "What is the probability that at least one channel \"highlight%28cross%28receives%29%29\" transmits
\n" ); document.write( "an undistorted message if the probability of a byte being \"highlight%28cross%28scrambled%29%29\"
\n" ); document.write( "spoiled/(corrupted) on each channel is p? (p = 0.23, n = 9, k = 3).
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\n" ); document.write( "\n" ); document.write( "        Wording is definitely curved and oblique in this post.\r
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document.write( "The probability of the 9-bite message to be undistorted in all 9 bites by any one \r\n" );
document.write( "of k=3 independent information transmission channels is\r\n" );
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document.write( "    p = \"%281-p%29%5En\" = \"%281-0.23%29%5E9\" = \"0.77%5E9\" = 0.09515 (rounded).\r\n" );
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document.write( "With k=3 independent information transmission channels the probability to transmit\r\n" );
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document.write( "    P = \"1+-+%281-p%29%5E3\" = \"1+-+%281-0.09515%29%5E3\" = 0.25915  (rounded).    ANSWER\r\n" );
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