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A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean...

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Statistics

A light fixture contains five lightbulbs. The lifetime of eachbulb is exponentially distributed with mean 205 hours. Whenever abulb burns out, it is replaced. Let T be the time of thefirst bulb replacement. Let XiXi , i = 1, . . . ,5, be the lifetimes of the five bulbs. Assume the lifetimes of thebulbs are independent.

1-Find P( X1X1  > 100).

2-Find P( X1X1 > 100 and   X2X2 > 100and • • • and   X5X5 > 100).

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