Let X 1 and X 2 be two independent random variables so that the variances of X 1 and X 2 are 2 1 k and 2 2 2, respectively Given that the variance of Y 3X 2 X 1 is 25, find k

Question: Let X 1 and X 2 be two independent random variables so that the variances of X 1 and X 2 are 2 1

Let X₁ and X₂ be two independent random variables so that the variances of X₁ and X₂ are σ²₁ = k and σ²₂ = 2, respectively. Given that the variance of Y = 3X₂ − X₁ is 25, find k.

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