CSE 221: Probabilistic Analysis of Computer SystemsContinuous random variablesContinuous random variables (contd..)Slide 4Continuous random variable (contd..)Slide 6Continuous random variables (contd..)Uniform distribution (contd..)Slide 9Normal distributionNormal distribution (contd..)Normal distribution (contd..)Slide 13Slide 14CSE 221: Probabilistic Analysis of Computer SystemsTopics covered:Continuous random variablesUniform and Normal distribution(Sec. 3.1, 3.4.6-3.4.7)Continuous random variablesDiscrete vs. Continuous random variables:Continuous random variables (contd..)Event definition:Cumulative Distribution Function (CDF):Continuous random variables (contd..)CDF of discrete vs. continuous random variables:Continuous random variable (contd..)Relationship between density and distribution functions:Continuous random variable (contd..)Properties of distribution function:Continuous random variables (contd..) Density function of continuous vs. discrete random variables:Uniform distribution (contd..)Density:Distribution function:Uniform distribution (contd..)Parameters of the uniform distribution: Verification of the CDF of uniform distribution:Normal distributionDensity function:Shape of the density function:Normal distribution (contd..)Parameters of the normal distribution:Distribution function:Standard normal distribution:Normal distribution (contd..) Conversion of a non-standard random variable to a standard normal variable:Normal distribution (contd..)Example:Normal distribution (contd..)Central limit
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