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1. Suppose we have a family of distribution indexed by a parameter k where k is any positive integer. Let Fk(x) : xk be the

1. Suppose we have a family of distribution indexed by a parameter k where k is any positive integer. Let Fk(x) : xk be the c.d.f. where 0 S x S 1 (a) Find the corresponding p.d.f. or p.m.f., whichever is appropriate. (b) Find the mean of the distribution with c.d.f. F k. (c) Find the variance of the distribution with c.d.f. F k. (d) Find the SCV

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