The length of life Y for fuses of a certain type is modeled by the exponential
Chapter 5, Problem 5.69(choose chapter or problem)
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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