(a) Let X be a random variable with mean 0 and finite variance a2. By applying...

 

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(a) Let X be a random variable with mean 0 and finite variance a2. By applying Markov's inequality to the random variable W = (X+t)2, t > 0, show that P(X ≥ a) ≤ (b) Hence show that, for any a > 0, 0² 0² + a² P(Y 2 μ+a) ≤ P(Y ≤p-a) ≤ where E(Y) = μ, var(Y) = 0². for any a > 0. 0² + a²² 0² 0² + a²¹ (a) Let X be a random variable with mean 0 and finite variance a2. By applying Markov's inequality to the random variable W = (X+t)2, t > 0, show that P(X ≥ a) ≤ (b) Hence show that, for any a > 0, 0² 0² + a² P(Y 2 μ+a) ≤ P(Y ≤p-a) ≤ where E(Y) = μ, var(Y) = 0². for any a > 0. 0² + a²² 0² 0² + a²¹

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sol a proof Hence let b3o and mote that xa is equivalent to xb atb ... View the full answer