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# ch03 - 3-1 Discrete Random Variables3-1 Discrete Random...

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Unformatted text preview: 3-1 Discrete Random Variables3-1 Discrete Random VariablesExample 3-13-2 Probability Distributions and Probability Mass FunctionsFigure 3-1Probability distribution for bits in error.3-2 Probability Distributions and Probability Mass FunctionsFigure 3-2Loadings at discrete points on a long, thin beam.3-2 Probability Distributions and Probability Mass FunctionsDefinitionExample 3-5Example 3-5 (continued)Example• Toss a fair coin three times and define x= number of heads.1/81/81/81/81/81/81/81/8P(x = 0) = 1/8P(x = 1) = 3/8P(x = 2) = 3/8P(x = 3) = 1/8P(x = 0) = 1/8P(x = 1) = 3/8P(x = 2) = 3/8P(x = 3) = 1/8HHHHHHHHTHHTHTHHTHTHHTHHHTTHTTTHTTHTTTHTTHTTTTTTx32221111/833/823/811/8f(x)xProbability Histogram for xProbability Histogram for x3-3 Cumulative Distribution FunctionsDefinitionExample 3-8Example 3-8Figure 3-4Cumulative distribution function for Example 3-8.3-4 Mean and Variance of a Discrete Random VariableDefinition3-4 Mean and Variance of a Discrete Random VariableFigure 3-5A probability distribution can be viewed as a loading...
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ch03 - 3-1 Discrete Random Variables3-1 Discrete Random...

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