Question: For the random variable X, assume that the expectation E(eaX) exists for a given a . Prove that, for any real t, the following

For the random variable X, assume that the expectation E(eaX) exists for a given a ∈ ℝ. Prove that, for any real t, the following holds: P(X t) E(eax) eat

P(X t) E(eax) eat

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