Reference no: EM13957574

1. Let F(x) = (0x2 - 0 +1)1[03)(x) + hipo(x), where 0 < 0 < 1.

(a) Show that F(x) is a c.d.f. Is F(x) a discrete, continuous, or "mixed distribution"?

(b) Is there 0 for which F(x) is a distribution function of a continuous random variable? If yes, what is the density function?

(c) Is there 0 for which F(x) is a distribution function of a discrete random variable? If yes, what is the probability mass function?

2. Let F(x) = cED - Argujo (X).
1=0

(a) Show that F(x) is a distribution function of a discrete random variable.

(b) Find the corresponding probability mass function.