# The length of life Y for fuses of a certain type is modeled by the exponential ## Problem 5.69 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Problem 5.69

The length of life Y for fuses of a certain type is modeled by the exponential distribution, with f (y) = (1/3)ey/3, y > 0, 0, elsewhere. (The measurements are in hundreds of hours.) a If two such fuses have independent lengths of life Y1 and Y2, find the joint probability density function for Y1 and Y2. b One fuse in part (a) is in a primary system, and the other is in a backup system that comes into use only if the primary system fails. The total effective length of life of the two fuses is then Y1 + Y2. Find P(Y1 + Y2 1).

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Chapter 17 Multiple Regression Example: In the regression example from Chapter 15 notes we tried to predict the response variable weekly fuel consumption (FUEL) on the basis of predictor variable ‘average hourly temperature’ (TEMP) during the week. We saw a tendency for the FUEL to decrease in a straight-line fashion as the temperatures increase. Fuel consumption units are in Mcf (millions of...

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##### ISBN: 9780495110811

The full step-by-step solution to problem: 5.69 from chapter: 5 was answered by Sieva Kozinsky, our top Statistics solution expert on 07/18/17, 08:07AM. This full solution covers the following key subjects: . This expansive textbook survival guide covers 32 chapters, and 3350 solutions. Mathematical Statistics with Applications was written by Sieva Kozinsky and is associated to the ISBN: 9780495110811. Since the solution to 5.69 from 5 chapter was answered, more than 206 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7th. The answer to “The length of life Y for fuses of a certain type is modeled by the exponential distribution, with f (y) = (1/3)ey/3, y > 0, 0, elsewhere. (The measurements are in hundreds of hours.) a If two such fuses have independent lengths of life Y1 and Y2, find the joint probability density function for Y1 and Y2. b One fuse in part (a) is in a primary system, and the other is in a backup system that comes into use only if the primary system fails. The total effective length of life of the two fuses is then Y1 + Y2. Find P(Y1 + Y2 1).” is broken down into a number of easy to follow steps, and 106 words.

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