Question: =+20. Let X be a binomially distributed random variable with n trials and success probability p. Show by a coupling argument that Pr(X k)

=+20. Let X be a binomially distributed random variable with n trials and success probability p. Show by a coupling argument that Pr(X ≥ k)

is increasing in n for fixed p and k and in p for fixed n and k.

7.9 Problems 179

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