Concept explainers
In a January 2016 Harris Poll, each of 2252 American adults was asked the following question: If you had to choose, which ONE of the following sports would you say is your favorite?” (“Pro Football is Still America’s Favorite Sport,” theharrispoll.com/sports/Americas_Fav_Sport_2016.html, retrieved April 15, 2017). Of the survey participants, 33% chose pro football as their favorite sport. The report also included the following statement “Adults with household incomes of $75,000 – < $100,000 (48%) are especially likely to name pro football as their favorite sport, while love of this particular game is especially low among those in $100,000+ households (21%).”
Suppose that the percentages from this poll are representative of American adults in general. Consider the following events:
F =
L = event that a randomly selected American as a household income of $75,000 – $100,000
H = event that a randomly selected American has a household income of $100,000+
- a. Use the given information to estimate the following probabilities:
- i. P(F)
- ii. P(F\L)
- iii. P(F\H)
- b. Are the events F and L mutually exclusive? Justify your answer.
- c. Are the events H and L mutually exclusive? Justify your answer.
- d. Are the events F and H independent? Justify your answer.
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Chapter 6 Solutions
Introduction To Statistics And Data Analysis
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