## Solution for problem 3.29 Chapter 3

# If Y is a discrete random variable that assigns positive probabilities to only the

Mathematical Statistics with Applications | 7th Edition

If Y is a discrete random variable that assigns positive probabilities to only the positive integers, show that E(Y ) = i=1 P(Y k).

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Chapter 15 Inferences for Regression Chapter 4 was all descriptive statistics (describing the relationship between Y and X in the sample data) and Chapter 15 is inferential statistics (describing the ‘true’ relationship between Y and X in the population) The first few pages of Chapter 15 have two main purposes: o To introduce the population regression model o Briefly review what we did with regression in Chapter 4 The population model is x . The text does a good job of explaining this model. Y 0 1 The population mean of Y has a linear relation with X. 0 is the population Y-intercept and 1Is the population slope Our sample regression equation statistics (ŷ, b O and b 1 will provide estimates of the p

###### Chapter 3, Problem 3.29 is Solved

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If Y is a discrete random variable that assigns positive probabilities to only the