22. Let X be a Poisson random variable with mean 20.

(a) Use the Markov inequality to obtain an upper bound on p = P(X26]

(b) Use the one-sided Chebyshev inequality to obtain an upper bound on p.

(e) 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.