# Question: Let X be a Poisson random variable with mean 20 a

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) Approximate p by making use of the central limit theorem.

(d) Determine p by running an appropriate program.

(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) Approximate p by making use of the central limit theorem.

(d) Determine p by running an appropriate program.

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