21] For the following continuous pdf, find: (a) F(X), (b) P(X> 1000), (c) E(X). (d) Var(X). -*/2000 for r≥ 0. f(x) = 2000 elsewhere.
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- Find a constant b such that h is continuous at x = 2, whereFor f with derivative as in Figure : (a) Is f (c) a local minimum or maximum? (b) Is f a decreasing function?Suppose that the p.d.f. of X is as given f(x) = 3(1-x)2 for 0<x<1 and 0 otherwise Find the pdf of Y=(1-X)3 using the change of variable method.