Lifetimes of a certain type of light bulbs follow an exponential distribution with mean lifetime 800 hours. A consumer buys n such light bulbs. A light bulb is replaced by another as soon as it burns out. If n = 49, what is the approximate probability that the succession of light bulbs produces light for at least 36,000 hours? b. What is the smallest n such that the succession of light bulbs produces light for at least 36,000 hours with an approximate probability of .95?

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