4. Let X1, X20 be independent Poisson random variables with mean 1. (a) Use the Markov inequality...
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4. Let X1, X20 be independent Poisson random variables with mean 1.
(a) Use the Markov inequality to obtain a bound on
$$
P[\sum_{i=1}^{20} X_i > 15]
$$
(b) Use the central limit theorem to approximate
$$
P[\sum_{i=1}^{20} X_i > 15]
$$
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