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plotting cdf of a piece-wise continuous distribution


Hi!
Please, consider an example:

pdf1[x_] :=   Piecewise[{{4/Sqrt[\[Pi]] x ^(1/2) Exp[- x]/2, x >= 0}, {0,
 x < 0}}];

prob1 = ProbabilityDistribution[pdf1[x], {x, -\[Infinity], \[Infinity]}];

(* 1 *) Plot[Evaluate[PDF[prob1, x]], {x, -1, 5}, Filling -> Axis] (*
returns a nice plot *)

(* 2 *) Plot[Evaluate[CDF[prob1, x]], {x, -1, 6}] (* plot only x <0 *)
(* 3 *) Plot[Evaluate[CDF[prob1, x]], {x, 0, 5}, Filling -> Axis] (* plots
correctly *)

*Question*: Why does not  (* 2 *) work?

Thanks
Michael


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