Suppose that (Xn)‰ are iid N(0,1) random variables, and let Sn Ej1Xj. Evaluate for all n € N, = E[ein | S2n]. Your answer should be expressed in terms of elementary functions and Sn.

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A: The first derivative of moment generating function is, The mean of the distribution will be: Thus,…

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A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: The variance function will be OV(Y|X) = 0² O Bo + B₁ X + 0² O None of the other answers O V(Y|X) =…

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A: Probability theorem :  P(W)+P(W¯ ) = 1

Q: 2. Consider the function ln x. a. Normalize it so that it is a PDF on [2.77, 4.38]. b. Compute the…

A: see the attachment

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Q: 4.4 Two random variables, T₁ and T2, are independent and exponentially distributed according to…

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A: Average value of function

Q: Suppose that Y is an exponential random variable with λ = 4. Find. P[Y > (E(Y) + 2√√Var(Y))].

A: From given data we have : λ=4 and Y~exp(λ)