The document discusses continuous random variables. It defines a continuous random variable as having a range of real numbers. The probability density function f(x) is used to determine probabilities from areas. The properties of f(x) are described. The cumulative distribution function F(x) gives the probability that the random variable is less than or equal to x. The mean, variance, and standard deviation of a continuous random variable are defined in terms of integrals of the random variable and its probability density function.

1. Chapter Two Random Variable L2- Continuous random variable

5. Jan 2009 CUMULATIVE DISTRIBUTION FUNCTION The cumulative distribution F( x ) of a discrete random variable X with probability mass function f ( x ) is

6. Jan 2009 MEAN AND VARIANCE :- Continuous R.V Mean or expected value is Variance of X is given as Standard deviation of X is  