If a random variable X has the Poisson distribution p(x;μ) = e¯ μ*/x! for x = 0, 1, 2, ..., then the moment-generating function of X is Mx (t) = e (et - 1). Suppose the moment-generating function of a certain Poisson random variable X is given by Mx (t) = e4 (e²-1). Find P(μ-20

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If a random variable X has the Poisson distribution p(x;μ) = e¯ μ*/x! for x = 0, 1, 2, ..., then the moment-generating function of X is Mx (t) = e (et - 1). Suppose the moment-generating function of
a certain Poisson random variable X is given by Mx (t) = e4 (e²-1). Find P(μ-20 <x<μ+30).
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(μ-20<x<μ+3)= ☐
(Round to four decimal places as needed.)
Transcribed Image Text:If a random variable X has the Poisson distribution p(x;μ) = e¯ μ*/x! for x = 0, 1, 2, ..., then the moment-generating function of X is Mx (t) = e (et - 1). Suppose the moment-generating function of a certain Poisson random variable X is given by Mx (t) = e4 (e²-1). Find P(μ-20 <x<μ+30). 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(μ-20<x<μ+3)= ☐ (Round to four decimal places as needed.)
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