suppose that x is a random variable with pdf given by fx (x) = (x − a)/b2 if a ≤ x < a b, (a 2b − x)/b2 if a b ≤ x < a 2b, 0 otherwise. where a ∈ r and b > 0 are some constant
a)
f X(x) is a continuous function for all x in its domain.
b) )
f X (x) is a discrete function for all x in its domain.
c)
f X(x) is piecewise-defined and continuous within each interval.
d)
f X(x) is undefined for all x in its domain.