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Mathematics, 15.04.2020 01:32 clickbaitdxl

You have two lightbulbs for a particular lamp. Let X 5 the lifetime of the first bulb and Y 5 the lifetime of the second bulb (both in 1000s of hours). Suppose that X and Y are independent and that each has an exponential distribution with parameter l 5 1. a. What is the joint pdf of X and Y? b. What is the probability that each bulb lasts at most 1000 hours (i. e., X # 1 and Y # 1)?

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