Let X be a Poisson random variable with mean 20. (a) Use the Markov inequality to obtain

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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.
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