Let X1,X2, . . . , X10 be independent Poisson random variables with mean 1. (a) Use

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Let X1,X2, . . . , X10 be independent Poisson random variables with mean 1.

(a) Use the Markov inequality to get a bound on P{X1 +· · ·+X10 ≥ 15}.

(b) Use the central limit theorem to approximate P{X1 +· · ·+X10 ≥ 15}.

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