Chapter 4 – Continuous Random Variables and Probability
Distributions
Outline – Continuous random variables and probability density
functions
Outline – Cumulative distribution function and expected values
Outline – The normal distribution
Outline – The Gamma distribution and its relatives
Outline – Probability plots
Continuous Random Variables
Probability density function
Uniform distribution
Example 4.4
The cumulative distribution function
Computing probabilities using the cdf
Example 4.6
Percentiles of a continuous distribution
Mean of a continuous random variable
Example 4.9
Example 4.9 continued
Expected value of a function of a rv
Example 4.10
Variance of a continuous rv
A shortcut formula for variance
The normal distribution
Normal density curves
The standard normal distribution
Nonstandard normal distribution
The Gamma distribution
Gamma density curves
Probabilities from the gamma distribution
The exponential distribution
Exponential density curves
The Chi-squared distribution
Chi-squared densities
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