X and Y are two random variables with variances of and of, respectively and r is the coefficient of correlation between them. If U = X + kY and V = X + (ox/o)Y, find the value of k so that U and V are uncorrelated.

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Q: 1. A treatment 2. A factor

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A: z be a standard normal distribution with mean=0 and standard deviation=1 i.e. z~ N0,1

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Q: Y₁ = 1, Y₂ = 1 Z₁ = 3₁ Z₂ = 6 2 (3) Σ² ( X₁ + 37₁ +2Z₁ ) = (X₁ + 3X₁ + 22, ) + (x₂ + 3/₁ + 27₂) i=1…

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A: Given information-

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