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An article describes a survey of 2,096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the National Football League adopted in 2010 designed to limit head injuries have been effective. Data from the survey are summarized in the table below. Agree Disagree Total Football Fan 713 503 1,216 Not a Football Fan 249 631 880 Total 962 1,134 2,096 Suppose that a survey participant is to be selected at random. Consider the following events. A = event selected participant agreed that the rules have been effective D = event selected participant disagreed that the rules have been effective F = event selected participant was a football fan Calculate the following probabilities. (Round your answers to four decimal places.) (a) P(A) = (b) P(D) = (c) P(A|F) : (d) P(A|FC) =

An article describes a survey of 2,096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the National Football League adopted in 2010 designed to limit head injuries have been effective. Data from the survey are summarized in the table below. Agree Disagree Total Football Fan 713 503 1,216 Not a Football Fan 249 631 880 Total 962 1,134 2,096 Suppose that a survey participant is to be selected at random. Consider the following events. A = event selected participant agreed that the rules have been effective D = event selected participant disagreed that the rules have been effective F = event selected participant was a football fan Calculate the following probabilities. (Round your answers to four decimal places.) (a) P(A) = (b) P(D) = (c) P(A|F) : (d) P(A|FC) =

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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An article describes a survey of 2,096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the National Football League adopted in 2010, designed to limit head injuries, have been effective. Data from the survey are summarized in the table below. | | Agree | Disagree | Total | |-----------------|-------|----------|-------| | **Football Fan** | 713 | 503 | 1,216 | | **Not a Football Fan** | 249 | 631 | 880 | | **Total** | 962 | 1,134 | 2,096 | Suppose that a survey participant is to be selected at random. Consider the following events: - \( A \) = event the selected participant agreed that the rules have been effective - \( D \) = event the selected participant disagreed that the rules have been effective - \( F \) = event the selected participant was a football fan Calculate the following probabilities. (Round your answers to four decimal places.) (a) \( P(A) \) = (b) \( P(D) \) = (c) \( P(A|F) \) = (d) \( P(A|F^c) \) =
Transcribed Image Text:An article describes a survey of 2,096 adult Americans. Survey participants were asked if they were football fans and also if they agreed or disagreed that the rules that the National Football League adopted in 2010, designed to limit head injuries, have been effective. Data from the survey are summarized in the table below. | | Agree | Disagree | Total | |-----------------|-------|----------|-------| | **Football Fan** | 713 | 503 | 1,216 | | **Not a Football Fan** | 249 | 631 | 880 | | **Total** | 962 | 1,134 | 2,096 | Suppose that a survey participant is to be selected at random. Consider the following events: - \( A \) = event the selected participant agreed that the rules have been effective - \( D \) = event the selected participant disagreed that the rules have been effective - \( F \) = event the selected participant was a football fan Calculate the following probabilities. (Round your answers to four decimal places.) (a) \( P(A) \) = (b) \( P(D) \) = (c) \( P(A|F) \) = (d) \( P(A|F^c) \) =
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