Continuous Random Variables
A continuous random variable maps outcomes to values of an uncountable set (e.g., the real numbers). For a continuous random variable, the probability of any specific value is zero, whereas the probability of some infinite set of values (such as an interval of non-zero length) may be positive.
Cumulative distribution function for a continuous random variable X with a numerical value of interest a is
Standardized Random Variable
Probability Density Function