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. Football Fan Not a Football Fan Total (i) P(A) = 0.4399 (ii) P(D)= 0.5601 (iii) P(A|F) = (iv) P(A/FC) = Agree Disagree 703 219 922 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 (a) Calculate the following probabilities. (Round your answers to four decimal places.) Total 513 1,216 661 880 1,174 2,096 (b) Are the events F and A independent events? Justify your answer using relevant probabilities. O Yes, the events F and A are independent because P(AIF) + P(A) Yes, the events F and A are independent because P(AIF) = P(A) O No, the events F and A are not independent because P(AIF) = P(A) O No, the events F and A are not independent because P(A|F) # P(A)
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. Football Fan Not a Football Fan Total (i) P(A) = 0.4399 (ii) P(D)= 0.5601 (iii) P(A|F) = (iv) P(A/FC) = Agree Disagree 703 219 922 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 (a) Calculate the following probabilities. (Round your answers to four decimal places.) Total 513 1,216 661 880 1,174 2,096 (b) Are the events F and A independent events? Justify your answer using relevant probabilities. O Yes, the events F and A are independent because P(AIF) + P(A) Yes, the events F and A are independent because P(AIF) = P(A) O No, the events F and A are not independent because P(AIF) = P(A) O No, the events F and A are not independent because P(A|F) # P(A)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
Football Fan
Not a Football Fan
Total
(i) P(A) = 0.4399
(ii) P(D) = 0.5601
(iii) P(A|F) =
(iv) P(A|FC) =
Agree
703
219
922
Disagree Total
513 1,216
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
(a) Calculate the following probabilities. (Round your answers to four decimal places.)
661
880
1,174 2,096
(b) Are the events F and A independent events? Justify your answer using relevant probabilities.
Yes, the events F and A are independent because P(A|F) ‡ P(A)
Yes, the events F and A are independent because P(A|F) = P(A)
No, the events F and A are not independent because P(A|F) = P(A)
O No, the events F and A are not independent because P(A|F) ‡ P(A)
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