Suppose G1,G2,G3 are defined by G1(x)=p,F(x)/1-q,F(x),qquad G2(x)=F(x)/p+q,F(x),qquad G3(x)=p+q,F(2), where 0<p<1, 0<q<1, p+q=1 and F is a probability distribution function. Then:

(B) Only G1 and G2 are distribution functions

Q110Section III (Statistics)110 of 180

Which transformations of a c.d.f. are c.d.f.s

Suppose $G_1,G_2,G_3$ are defined by

$G_1(x)=\frac{p\,F(x)}{1-q\,F(x)},\qquad G_2(x)=\frac{F(x)}{p+q\,F(x)},\qquad G_3(x)=p+q\,F(2),$

where $0<p<1$ , $0<q<1$ , $p+q=1$ and $F$ is a probability distribution function. Then:

Pick an option to check your answer.

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