Mathematics, 03.04.2020 16:32 rbalexander25

Suppose the lifetime (in months) of a certain type of lightbulb is a random variable X with pdf f (x) = 23 , x > 1. x2 x a. Find the cdf F(x). b. Find the probability that a lightbulb of this kind lasts longer than 2 months. c. Find the mean and variance of X. d. In a random sample of 5 such lightbulbs, what is the probability that at least 2 of them will work for more than 2 months?

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Suppose the lifetime (in months) of a certain type of lightbulb is a random variable X with pdf f (x...

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