In a poll, each of a certain number of American adults was asked the question "If you had to choose, which ONE of the following sports would you say is your favorite?" Of the survey participants, 31% chose pro football as their favorite sport. The report also included the 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 (24%)." Suppose that the percentages from this poll are representative of American adults in general. Consider the following events. F = event that a randomly selected American adult names pro football as his or her favorite sport L = event that a randomly selected American has 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)
In a poll, each of a certain number of American adults was asked the question "If you had to choose, which ONE of the following sports would you say is your favorite?" Of the survey participants, 31% chose pro football as their favorite sport. The report also included the 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 (24%)." Suppose that the percentages from this poll are representative of American adults in general. Consider the following events. F = event that a randomly selected American adult names pro football as his or her favorite sport L = event that a randomly selected American has 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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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In a poll, each of a certain number of American adults was asked the question "If you had to choose, which ONE of the following sports would you say is your favorite?" Of the survey participants, 31% chose pro football as their favorite sport. The report also included the 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 (24%)."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 has 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)
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