Continuous distributions DOWNLOAD FREE

Expectation of a continuous probability distribution For a discrete probability distribution, the expectation is defined to be [Equation.] Where [Equation.] is the probability the the random variable X takes the value xi. For a continuous probability distribution this is generalized as follows&: If X is a continuous random variable having probability density function f(x) then [Equation.] Example The continuous random variable X has probability density function given by&: [Equation.]

Contents of Continuous distributions 1 Continuous random variables 2 Continuous distributions. Probability density function 3 Expectation of a continuous probability distribution 4 Variance of a continuous probability distribution. 5 Expectation of a general function of a random variable X

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