document.write( "Question 697879: Given that x has a poisson distribution with (mean) u=6, what is the probability that x=0 \n" ); document.write( "

Algebra.Com's Answer #430342 by Positive_EV(69) $\"\"$ $\"About$

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The probability mass function of the Poisson distribution is $\"P%28X+=+x%29+=+e%5E%28-u%29%2A%28%28u%5Ex%29%2Fx%21%29\"$ . To find P(X = 0), plug in u = 6 and 0 = x into the probability mass function:
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\n" ); document.write( "\n" ); document.write( " $\"P%28X+=+0%29+=+e%5E%28-6%29%2A%28%286%5E0%29%2F0%21%29\"$
\n" ); document.write( " $\"P%28X+=+0%29+=+e%5E%28-6%29%2A%281%2F1%29\"$
\n" ); document.write( " $\"P%28X+=+0%29+=+e%5E%28-6%29+=+.00248\"$ \n" ); document.write( "

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