1. Let X₁, X₂, and X3 represent the times necessary to perform three successive repairs tasks at a certain service facility. Suppose they are independent, normal random variables with expected values μ₁, ₂, and 3 and variances o,o2, and o3, respectively a) If μ₁=₂=₂= 60 and o² = o2 = 03 =15, calculate P(X₁ + X₂ + X3 ≤ 200). b) Using the u's and o's given in part (a), calculate P(58 ≤ x ≤ 62), where X₁ + X₂ + X₂ 3 c) Using the u's and o's given in part (a), calculate P(-10 ≤X₁ -0.5X₂-0.5X3 <5). X =
1. Let X₁, X₂, and X3 represent the times necessary to perform three successive repairs tasks at a certain service facility. Suppose they are independent, normal random variables with expected values μ₁, ₂, and 3 and variances o,o2, and o3, respectively a) If μ₁=₂=₂= 60 and o² = o2 = 03 =15, calculate P(X₁ + X₂ + X3 ≤ 200). b) Using the u's and o's given in part (a), calculate P(58 ≤ x ≤ 62), where X₁ + X₂ + X₂ 3 c) Using the u's and o's given in part (a), calculate P(-10 ≤X₁ -0.5X₂-0.5X3 <5). X =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 1CR
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