document.write( "Question 1143819: The number of monthly breakdown of a computer is a random variable with an average breakdown of 1.8per month. Find the probability that a computer will function for a month:(i). Without breakdown, (ii). With at least one breakdown \n" ); document.write( "

Algebra.Com's Answer #765188 by rothauserc(4718) $\"\"$ $\"About$

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This problem is solved using the Poisson distribution
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\n" ); document.write( "The mean(u) for the distribution is 1.8
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\n" ); document.write( "P(X) = e^(-u) * u^x/x!
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\n" ); document.write( "(i) x = 0, then
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\n" ); document.write( "P(X=0) = e^(-1.8) * 1.8^0 / 0! = 0.1653
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\n" ); document.write( "(ii) P(at least one breakdown) = 1 - P(X=0) = 1 - 0.1653 = 0.8347
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\n" ); document.write( "Note e = 2.71828 (but use your calculator's e button)
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