STAT 400 Midterm: STAT400 FORNI-G SPRING2009 0101 MID EXAM 1

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No notes, calculators, cell phones or electronic devices. Ii) let x and y be independent random variable each with exponential distribution. Assume e(x) = 1 and e(y ) = 2 : find p (x > y ) , find the probability density function of z = x y , find e(z) and v (z) . Iii) among the visitors to a museum 25% are children who pay , 50% are adults who pay the full price of and 25% are seniors who pay . Iv) let x , y be random variables with standard normal distribution.