What capacity must the tank in Prob. II have in order that the probability that the tank

Chapter 24, Problem 24.1.108

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If the mileage (in multiples of 1000 mi) after which a tire must be replaced is given by the random variable X with density \(f(x)=\theta e^{-i x x}(x>0)\), what mileage can you expect to get on one of these tires? Let e = 0.04 and find the probability that a tire will last at least 40000 mi.

Text Transcription:

f(x) = theta e^-theta x (x > 0)

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