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Published byDuane Potter Modified over 8 years ago

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Conditional Expectations Bivariate Probability Distributions Discrete Case - Television Sales Data Data Source: Benson (1966): “Analysis of Irregular Two-Dimensional Distributions of Consumer Buying Choices”, Journal of Marketing Research, Vol. 3, #3, pp.279-288

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Discrete Bivariate Distributions

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Example - Television Sales Counts (Top Table) - Joint&Marginal Probabilites (Bottom Table)

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Example - Television Sales Conditional Probabilities of Price Given Size Conditional Probabilities of Size Given Price

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Functions of Discrete Bivariate R.V.s

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Example - Television Sales Conditional Mean and Variance of Prices for Size = 15.5

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Example - Television Sales Conditional Mean and Variance of Price for all Sizes Note that the last column is the marginal distribution of sizes

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Rules for Conditional Expectations

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Example - Television Sales Marginal Distribution of Prices with Mean and Variance

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Example - Television Sales Means and Variances of Conditional Distributions and Probabilities

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Example - Television Sales

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