1. Some Continuous Probability Distributions By: Prof. Gevelyn B. Itao

2.  The density function of the continuous uniform random variable X on the interval [A, B] is

3. and

32.  The continuous random variable X has a gamma distribution, with parameters α and β, if its density function is given by where α > 0 and β > 0.

33. The gamma function is defined by where α > 0.

34. and µ = αβσ 2 = αβ 2

37.  The continuous random variable X has an exponential distribution, with parameter β, if its density function is given by where β > 0.

38. and µ = βσ 2 = β 2