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Let XiXi for i=1,2,3,…i=1,2,3,… be a random variable whose probability distribution is Poisson with parameter λ=9λ=9....

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Statistics

Let XiXi for i=1,2,3,…i=1,2,3,… be a random variable whoseprobability distribution is Poisson with parameter λ=9λ=9. Assumethe Xi are independent. Note that Poisson distributions arediscrete.

Let Sn=X1+⋯+Xn.

To use a Normal distribution to approximate P(550≤S64≤600), we usethe area from a lower bound of __ to an upper bound of __ under aNormal curve with center (average) at __ and spread (standarddeviation) of __ .

The estimated probability is __

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