Let X 1 , X 2 , X 3 , X 4 , X 5 be independent

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Let X1, X2, X3, X4, X5 be independent continuous random variables having a common distribution function and density function f, and set I = P{X1 < X2 < X3 < X4 < X5}

a. Show that does not depend on

b. Evaluate I.

c. Give an intuitive explanation for your answer to (b).

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