Paragraph: Continuous probability distributions, a continuous distribution is one in which the variate may take any value between certain limits a and b , a b . Suppose that the probability of the variate X falling in the infinitesimal interval x- 1 2 d x to x+ 1 2 d x is expressible as f(x) d x , where f(x) is a continuous function of x Symbolically, P (x- 1 2 d x X x+ 1 2 d x )=f(x) d x where f(x) is called the pro