Question: 6. Let X1, X2 be independent exponentially distributed random variables with parameter one. Let Y1 = min{X1, X2} and Y2 = max{X1, X2} - Yl.

6. Let X1, X2 be independent exponentially distributed random variables with

6. Let X1, X2 be independent exponentially distributed random variables with parameter one. Let Y1 = min{X1, X2} and Y2 = max{X1, X2} - Yl. Show that Y1 and Y2 are independent. Generalize this to the case of three independent exponential random variables with parameter one

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