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Deduce that random variables are independent

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Reference no: EM13850956

Let X be an Exp (1) random variable. Let [X] denote the largest integer not exceeding. Show that

P [X] =m ,X-[X]≤ t)=e-λm ( 1-e-λt ) .

Work out marginal's of [X] and X-[X] and deduce that these two random variables are independent

Reference no: EM13850956

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