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Problem 5 of 5Sum of random variables Let Mr(μ, σ2) denote the Gaussian (or normal) pdf with Inean ,, and variance σ2, namely
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2- Let, Me x-y we cnsider the transmwation (x) →(z,w) 可aco bían of the transfor mation is o(x,y) 2 2. 2 of (z,v) 지기 2.2 1 e 2

clearly , ci Xis are Norm al with meanc;x0-0 ng Roma D the feet gta ted above. TaKeas any ther ar able thich is indepemdent

2 Here, E(2) 。 we are rejusivel tw find E(2) 1 a-2 #6-JE (x2H).te- ) E(Х,一小2(n-DE 1x2_m) E(sm)

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