Given are iid with a normal distribution and represent the times necessary to perform three successive repair tasks with expected values 65 and variances 20. What is the value of Var()? Question 12 options: 20 40 0 130
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Step 1
- The times \( X_1, X_2, X_3 \) are independent and identically distributed (iid) normal random variables. - Each has an expected value \( E(X_i) = 65 \). - Each has a variance \( \text{Var}(X_i) = 20 \). Show more…
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Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a certain service facility. Suppose they are independent normal random variables with expected values μ1 = μ2 = μ3 = 65 and variances σ1^2 = σ2^2 = σ3^2 = 20 respectively. What is the value of E[X1 + X2 + X3]? 20 40 60 80 195 260
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