2) Consider a standard normal random variable X and Y~Exp(ß = 1). If W = 2Y and √2x √W' then a) State with parameter(s) the probability distribution of Z. b) Find the mean and variance of Z. c) Compute the probability that Z is at most 6.97. Z =

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A: Here alpha = 3 , beta = 10 Mean = 3×10 = 30 Standard deviation = 10 √3 = 17.32

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A: From the provided information, U~U(0, 14) a = 0 and b = 14

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A: E(X−a)2=E(X−μ+μ−a)2=E((X−μ)+(μ−a))2=E((X−μ)2+2(X−μ)(μ−a)+(μ−a)2)=E(X−μ)2+E(2(X−μ)(μ−a))+E(μ−a)2=E(X−…

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A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted

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A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

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A: As per bartleby guidelines we can solve only first three subparts and rest can be reposted