STA100+spring+2016+HW3 - 1 STA100C Homework 3 Due at the...

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1 STA100C Homework 3 Due at the beginning of class on April 18, 2016 points lost if you don’t follow the rule Write your name and student ID 1 on the left side at the top of the first page. Write the homework number in the middle at the top of the first page. 1 Write your section number on the right side at the top of the first page. 1 Staple all pages. 1 If your homework is on paper pulled out of a notebook, cut off all of the fringes (from the torn horizontal threads that attached the paper to the notebook). 1 For example, for homework 3 if your name is John Smith, your student ID is 123456789, and you are in section C01, then the top of your first page should look like this John Smith Homework 3 C01 123456789 Be kind to the grader. make sure you write your name clearly (so it is easy to read) write neatly circle all final answers (so they are easy to find) 1. In a study of the relationship between health risk and income, a large group of people living in Massachusetts were asked a series of questions. Some of the results are shown in the following table. income low middle high total smoke 634 332 247 1,213 don’t smoke 1,846 1,622 1,868 5,336 total 2,480 1,954 2,115 6,549 In homework 2 we found the following probabilities. P(being a smoker) 0 . 18 P(being a smoker | low income) 0 . 26 P(being a smoker and having low income) 0 . 097 Is being a smoker independent of income? Why or why not?
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2 2. Suppose that in a certain population of married couples, 30% of the husbands smoke, 20% of the wives smoke, and in 8% of the couples both the husband and wife smoke. Define H as the event the husband smokes and W as the event the wife smokes. Show using the appropriate probability relationship that the smoking status (smoker or not) of the husband is not independent of smoking status of the wife. 3. An insurance company believes that people can be divided into two classes – those that are accident prone and those that are not. Their statistics show that an accident-prone
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