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Math · Statistics And Probability
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Suppose that there are N light bulbs in a box. The lifetime of bulb n (in months) has the exponential distribution with rate parameter n A bulb is selected at random from the box and tested. (a) Find the probability that the selected bulb will last more than one month. (b) Given that the bulb lasts more than one month, find the conditional probability density function of the bulb number.

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