Let X₁, X2, ..., X and Y₁, Y₂, ..., Ym be random samples from populations with moment generating 25 functions Mx, (t) = 3t+t² and My₁(t) = (₁-¹₂) ²5₁ respectively. i) Find the sampling distribution of the statistic W = X₁ + 2X₂ − X3 + X₁ + X5. ii) What is the value of the sample size n, if P[1(X₁-X)² > 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Ỹ - µ| ≥ 10) < 0.04?

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