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In: Statistics and Probability

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

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

1-Find P( X1X1  > 100).

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

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orchestra answered 1 year ago
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