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5. Let X 1 and X 2 be independent random variables unifromly distributed over the interval ( 0 ,
1 ) . Find (i) P ( X 1 + X 2 < 0.5 ) , (ii) P ( X 1 X 2 < 0.5 ) , (iii) P ( X 1 2 + X 2 2 < 0.5 ) , (iv) P (
e X 1 < 0.5 ) , and (v) P ( cos X 2 < 0.5 ) .

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