Question: Let X be a Poisson random variable with mean 20. (a) Use the Markov inequality to obtain an upper bound on p = P{X 26}

Let X be a Poisson random variable with mean 20.

(a) Use the Markov inequality to obtain an upper

bound on

p = P{X 26}

(b) Use the one-sided Chebyshev inequality to obtain an

upper bound on p.

(c) Use the Chernoff bound to obtain an upper bound

on p.

(d) Approximate p by making use of the central limit

theorem.

(e) Determine p by running an appropriate program.

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