Question: 6. The lifetime, in years, X1,X2, ,Xn of n randomly selected power steering pumps manufactured by a subsidiary of a car company

6. The lifetime, in years, X1,X2, · · · ,Xn of n randomly selected power steering pumps manufactured by a subsidiary of a car company is exponentially distributed with mean 1/λ. Find the probability density function of X(1) =Min(X1,X2, · · · ,Xn), and find its mean and variance.

286 7 Sampling Distributions

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