Question: Let X Binomial(n, p). Using Chebyshev's inequality, find an upper bound on P(X n), where p < < 1. Evaluate the bound

Let X ∼ Binomial(n, p). Using Chebyshev's inequality, find an upper bound on P(X ≥ αn), where p < α < 1. Evaluate the bound for p = 1/2 and α = 3/4.

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