Question: For a nonnegative discrete random variable X, we know that E(X) = 25, E[X(X 4)] = 900. Find an upper bound for the probability

For a nonnegative discrete random variable X, we know that E(X) = 25, E[X(X − 4)] = 900.

Find an upper bound for the probability P(X ≥ 50) using

(i) Markov’s inequality;

(ii) Chebyshev’s inequality.

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