document.write( "Question 1174512: In a certain communications system, there is an average of 1 transmission error per 10 seconds Let the distribution of transmission errors, say X be a Poisson distribution. What is the probe ability of more than 1 error in a communication half minute in duration? \n" ); document.write( "

Algebra.Com's Answer #799946 by Boreal(15235) $\"\"$ $\"About$

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The errors are proportional to time, so would expect the half-minute distribution to be Poisson with lambda=3.
\n" ); document.write( "probability of 0 and 1 are
\n" ); document.write( "p(0)=e^(-3)^3^0/0!=0.0498
\n" ); document.write( "p(1)=e^(-3)*3^1/1!=0.1494
\n" ); document.write( "that sum is 0.1992
\n" ); document.write( "the probability of more than 1 is the complement or 0.8008 \n" ); document.write( "

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