Probability that exactly five of ten bulbs fail before time


Suppose that you have ten light bulbs, that the lifetime of each is independent of all the other lifetimes, and that each lifetime has an exponential distribution with parameter λ, Suppose that nine of the bulbs have lifetimes that are exponentially distributed with parameter λ and that the remaining bulb has a lifetime that is exponentially distributed with parameter θ. What is the probability that exactly five of the ten bulbs fail before time t?

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Basic Statistics: Probability that exactly five of ten bulbs fail before time
Reference No:- TGS0106602

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