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Let X1, X2,, Xn be i.i.d. uniform random variables on the unit interval [0, 1]. Let Yn min {X1, , Xn} and Zn =
Let X1, X2,, Xn be i.i.d. uniform random variables on the unit interval [0, 1]. Let Yn min {X1, , Xn} and Zn = max {X1,..., Xn}. (a) Find P(X5 > X1 | X = Z4). [5 points] = (b) What is the joint pdf and the joint cdf of (Yn, Zn)? [10 points] (c) What is the probability that Yn + Zn < ? [5 points]
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Probability and Random Processes With Applications to Signal Processing and Communications
Authors: Scott Miller, Donald Childers
2nd edition
123869811, 978-0121726515, 121726517, 978-0130200716, 978-0123869814
