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Unformatted text preview: 41 Continuous Random Variables42 Probability Distributions and Probability Density FunctionsFigure 41Density function of a loading on a long, thin beam.42 Probability Distributions and Probability Density FunctionsFigure 42Probability determined from the area under f(x).42 Probability Distributions and Probability Density FunctionsDefinition42 Probability Distributions and Probability Density FunctionsFigure 43Histogram approximates a probability density function.42 Probability Distributions and Probability Density Functions42 Probability Distributions and Probability Density FunctionsExample 4242 Probability Distributions and Probability Density FunctionsFigure 45Probability density function for Example 42.42 Probability Distributions and Probability Density FunctionsExample 42 (continued)43 Cumulative Distribution FunctionsDefinition43 Cumulative Distribution FunctionsExample 4443 Cumulative Distribution FunctionsFigure 47Cumulative distribution function for Example 44.44 Mean and Variance of a Continuous Random VariableDefinition44 Mean and Variance of a Continuous Random VariableExample 4644 Mean and Variance of a Continuous Random VariableExpected Value of a Function of a Continuous Random Variable44 Mean and Variance of a Continuous Random VariableExample 4845 Continuous Uniform Random VariableDefinition45 Continuous Uniform Random VariableFigure 48Continuous uniform probability density function.45 Continuous Uniform Random VariableMean and Variance45 Continuous Uniform Random VariableExample 4945 Continuous Uniform Random VariableFigure 49Probability for Example 49.45 Continuous Uniform Random Variable46 Normal DistributionDefinition46 Normal DistributionFigure 410Normal probability density functions for selected values of the parameters and 2.46 Normal DistributionSome useful results concerning the normal distribution46 Normal DistributionDefinition : Standard Normal46 Normal DistributionExample 411Figure 413Standard normal probability density function.46 Normal DistributionStandardizing46 Normal DistributionExample 41346 Normal DistributionFigure 415Standardizing a normal random variable.46 Normal DistributionTo Calculate Probability...
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 Spring '10
 Zhai

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