b) Let X₁, X₂,..., X and Y₁, Y2, ..., Ym be random samples from populations with moment generating25(1) respectively.functions Mx, (t) = e³t+t² and My, (t) =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(|YH| ≥ 10) <0.04?

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Answered: i) Find the sampling distribution of…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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i) Find the sampling distribution of the statistic W = X₁ + 2X2 - X3 + X₁ + Xs. ii) What is the value of the sample size n, if P[X(X-X)²> 68.3392] = 0.025? iii) What is the value of the sample size m, if P(|Ỹ-Hy| ≥10) <0.04?