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Consider a random variable distributed U(0,1). A random sample of size n=5 suggest by one rule that the interquartile range (IQR) would be the difference

Consider a random variable distributed U(0,1). A random sample of size n=5 suggest by one rule that the interquartile range (IQR) would be the difference of order statistics, X ' 4- X '2. (a) Determine the expected value of the IQR analytically. (b) Confirm your result by simulating the IQR 1000 times.

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