Question: Please see attachment for question. Correct and wrong answers are also shown. The joint density function for random variables X, Y, and Z is f(X,

Please see attachment for question.

Correct and wrong answers are also shown.

The joint density function for random variables X, Y, and Z is f(X, y, z): nyz if 0 s X s 2, 0 s y s 1, 2 (b) Find P(X 5 3/16 (c) Find P(X + q! 1,Y51,251). X (a) Find the value of the constant C. 0.5 Y+25 1). X Need Help? iii MY NOTES 0 s z s 2, and f(X, y, z) = 0 otherwise. Submit Answer Use spherical coordinates. MY NOTES Find the centroid of the solid Ethat is bounded by the xzplane and the hemispheres y = \\f 36 x2 22 and y = e/ 81 _ X2 _ 22. (X. y, 2) = Need Help? ( 621: 15 x)

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