Let X = [X1, X2¦ XN] T represent an N- dimensional vector of random variables that is

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Let X = [X1, X2€¦ XN] T represent an N- dimensional vector of random variables that is uniformly distributed over the region, x1 + x2 + . . . + xN ‰¤ 1, x I ‰¥ 0, i = 1, 2, €¦ N. That is
Let X = [X1, X2€¦ XN] T represent an N-

(a) Find the constant c.
(b) Find the marginal PDF for a subset of M of the N random variables.
(c) Are the Xi independent? Are the Xi identically distributed?

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