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Unformatted text preview: 550.430 Introduction to Statistics Spring 2012 Naiman Homework #1 Due Monday Feb 6th Note: Solutions to odd numbered exercises in the textbook appear in the back of the book. You should try to work out the problems to get the solutions, and use the answers to check your work and understanding. (1) A population consists of 3 households, labeled 1,2, and 3. The number of persons living in each household and their incomes are given in the following table: household number of inhabitants incomes 1 1 $80,000 2 2 $30,000, $70,000 3 3 $10,000, $40,000, $100,000 A household is selected at random with all households equally likely. Then a person is selected from the household with all people equally likely. Let X denote the number of the selected household, and let Y denote the income of the selected person. (i) Write down the probability mass function (frequency function) for X. This is the function p X defined by p X ( x ) = P [ X = x ] for each possible x....
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