ch04 - 4-1 Continuous Random Variables4-2 Probability...

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Unformatted text preview: 4-1 Continuous Random Variables4-2 Probability Distributions and Probability Density FunctionsFigure 4-1Density function of a loading on a long, thin beam.4-2 Probability Distributions and Probability Density FunctionsFigure 4-2Probability determined from the area under f(x).4-2 Probability Distributions and Probability Density FunctionsDefinition4-2 Probability Distributions and Probability Density FunctionsFigure 4-3Histogram approximates a probability density function.4-2 Probability Distributions and Probability Density Functions4-2 Probability Distributions and Probability Density FunctionsExample 4-24-2 Probability Distributions and Probability Density FunctionsFigure 4-5Probability density function for Example 4-2.4-2 Probability Distributions and Probability Density FunctionsExample 4-2 (continued)4-3 Cumulative Distribution FunctionsDefinition4-3 Cumulative Distribution FunctionsExample 4-44-3 Cumulative Distribution FunctionsFigure 4-7Cumulative distribution function for Example 4-4.4-4 Mean and Variance of a Continuous Random VariableDefinition4-4 Mean and Variance of a Continuous Random VariableExample 4-64-4 Mean and Variance of a Continuous Random VariableExpected Value of a Function of a Continuous Random Variable4-4 Mean and Variance of a Continuous Random VariableExample 4-84-5 Continuous Uniform Random VariableDefinition4-5 Continuous Uniform Random VariableFigure 4-8Continuous uniform probability density function.4-5 Continuous Uniform Random VariableMean and Variance4-5 Continuous Uniform Random VariableExample 4-94-5 Continuous Uniform Random VariableFigure 4-9Probability for Example 4-9.4-5 Continuous Uniform Random Variable4-6 Normal DistributionDefinition4-6 Normal DistributionFigure 4-10Normal probability density functions for selected values of the parameters and 2.4-6 Normal DistributionSome useful results concerning the normal distribution4-6 Normal DistributionDefinition : Standard Normal4-6 Normal DistributionExample 4-11Figure 4-13Standard normal probability density function.4-6 Normal DistributionStandardizing4-6 Normal DistributionExample 4-134-6 Normal DistributionFigure 4-15Standardizing a normal random variable.4-6 Normal DistributionTo Calculate Probability...
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ch04 - 4-1 Continuous Random Variables4-2 Probability...

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