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If a random variable X has the Poisson distribution p(x;)=ex/x! for x=0,1,2,, then the moment-
generating function of X is MX(t)=e(et1). Suppose the moment-generating function of a certain
Poisson random variable X is given by MX(t)=e9(et1). Find P(<X<+2). Click here to view page 1 of
the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability
sums. Click here to view page 3 of the table of Poisson probability sums. Click here to view page 4
of the table of Poisson probability sums. P(<X<+2)=

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If a random variable X has the Poisson distribution pxex.pdf

  • 1. If a random variable X has the Poisson distribution p(x;)=ex/x! for x=0,1,2,, then the moment- generating function of X is MX(t)=e(et1). Suppose the moment-generating function of a certain Poisson random variable X is given by MX(t)=e9(et1). Find P(<X<+2). Click here to view page 1 of the table of Poisson probability sums. Click here to view page 2 of the table of Poisson probability sums. Click here to view page 3 of the table of Poisson probability sums. Click here to view page 4 of the table of Poisson probability sums. P(<X<+2)=