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19-09-2022
Mathematics

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2. Let Y₁, Y2, Y3, Y4, Y5 and X₁, X2, ..., X, be independent and normally distributed random samples from populations with means ₁ = 2 and ₂ = 8 and variances ₁² = 5 and 2₂² = k₁ respectively. Suppose that P(X - Ỹ > 10) = 0.02275, find the value of 0₂² = k. (5)

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