4 Probability generating function 

In the previous unite, we introduced the concepts of probability generating function and moment generating functions

for discrete random variables. These concepts have natural analogues for continuous random variables,

provided some care is taken in arguments involving convergence.

 We definition the probability generating function as: 

 Let be a continuous random variable with density function f(x) 

. The probability generating function 
 

Calculating the probability generating function 

Calculate the PGF of the Uniform (a , b) .