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A light fixture contains five lightbulbs. The lifetime of each bulb is exponentially distributed with mean 192.0 hours.
Whenever a bulb burns out, it is replaced. Let $T$ be the time of the first bulb replacement. Let $X_i$, $i=1,..., 5$, be the
lifetimes of the five bulbs. Assume the lifetimes of the bulbs are independent.
Find $P(T \le 100)$. (Round the final answer to four decimal places.)