Question: Let X1, ... , X7 be i.i.d. Exponential (1) random variables. Let Y1, ... , Y7 be the order statistics corresponding to this sample. a)

Let X1, ... , X7 be i.i.d. Exponential (1) random variables. Let Y1, ... , Y7 be the order statistics corresponding to this sample.

a) Find the pdf of Y4 Y3.

b) Derive the joint pdf of Y2, Y4 and Y7.

c) State the joint pdf of Y1, ... , Y7.

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