Consider the following probability distribution function for a continuous random variable:
f(x) = 3x62/35 -2
a) Show that this function satisfies the requirements of a probability distribution function.
b)Calculate the expected (mean) value of x.
c)Calculate the variance and the standard deviation of x.
Calculate the probability of the following cases:
a) x=<0
b) 0 < x :s 1 .
c) x = 2.