Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a

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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 rv's with expected values , , and , and variances , , and , respec- tively.

a. If = 60 and = = = 15, calculate == P(T200) and P(150 T = 200)?

b. Using the 's and 's given in part (a), calculate both P(55) and P(58 X 62).

c. Using the 's and 's given in part (a), calculate and interpret P(-10X.5X2.5X, 5).

d. If =40, 50, 60, = 10, = 12, and => - = 14, calculate P(X+X+X160) and also P(X + X = 2X).

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Probability And Statistics For Engineering And The Sciences

ISBN: 9781133169345

8th Edition

Authors: Jay L Devore, Roger Ellsbury

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Question Posted: Sep 16, 2024 04:00 PM

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Let X1, X2, and X3 represent the times necessary to perform three successive repair tasks at a

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Probability And Statistics For Engineering And The Sciences

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