Question: Let X, X2, X3 be i.i.d. samples from an exponential distribution with = 2, and let Y, Y2, Y3 be order statistics for that

Let X, X2, X3 be i.i.d. samples from an exponential distribution with

Let X, X2, X3 be i.i.d. samples from an exponential distribution with = 2, and let Y, Y2, Y3 be order statistics for that sample. (a) Find the marginal distribution for Y (the median of the sample). (b) Find the probability that the median value is less than 1.

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