Concept explainers
The lengths of life Y for a type of fuse has an exponential distribution with a density
- 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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Chapter 5 Solutions
Mathematical Statistics with Applications
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