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.