# The lengths of life Y for a type of fuse has an exponential distribution with a density ## Problem 5.151 Chapter 5

Mathematical Statistics with Applications | 7th Edition

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Problem 5.151

The lengths of life Y for a type of fuse has an exponential distribution with a density function given by f (y) = (1/)ey/ , y 0, 0, elsewhere. a If two such fuses have independent life lengths Y1 and Y2, find their joint probability density function. b One fuse from 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 life length of the two fuses, therefore, is Y1 + Y2. Find P(Y1 + Y2 a), where a > 0.

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##### ISBN: 9780495110811

This full solution covers the following key subjects: . This expansive textbook survival guide covers 32 chapters, and 3350 solutions. The answer to “The lengths of life Y for a type of fuse has an exponential distribution with a density function given by f (y) = (1/)ey/ , y 0, 0, elsewhere. a If two such fuses have independent life lengths Y1 and Y2, find their joint probability density function. b One fuse from 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 life length of the two fuses, therefore, is Y1 + Y2. Find P(Y1 + Y2 a), where a > 0.” is broken down into a number of easy to follow steps, and 99 words. The full step-by-step solution to problem: 5.151 from chapter: 5 was answered by Sieva Kozinsky, our top Statistics solution expert on 07/18/17, 08:07AM. Since the solution to 5.151 from 5 chapter was answered, more than 207 students have viewed the full step-by-step answer. Mathematical Statistics with Applications was written by Sieva Kozinsky and is associated to the ISBN: 9780495110811. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7th.

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