P7. The function orda(u, v) is defined as: u,v> au v, u> av ord (u, v)...

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P7. The function orda(u, v) is defined as: u,v> au v, u> av ord (u, v) = where a > 0. In other hand, the independent random variables X and Y have uniform distribution in the interval [0 1]. a. If Z = ord (X, Y), find PDF f2(2)? b. We define Z, = ord (X,Y), where i E {1,2,..). Also, U, and Uz are defined as: %3D %3D U = 2, + Z2 and U, = Z,- Z2. Find PDF fu, (u,U2 = u2)? %3! P7. The function orda(u, v) is defined as: u,v> au v, u> av ord (u, v) = where a > 0. In other hand, the independent random variables X and Y have uniform distribution in the interval [0 1]. a. If Z = ord (X, Y), find PDF f2(2)? b. We define Z, = ord (X,Y), where i E {1,2,..). Also, U, and Uz are defined as: %3D %3D U = 2, + Z2 and U, = Z,- Z2. Find PDF fu, (u,U2 = u2)? %3!