a. What is the probability that a randomly selected survey participant prefers the NFL? O (Round to four decimal places as needed.) b. What is the probability that a randomly selected survey participant has a college degree and prefers the NBA? O (Round to four decimal places as needed.) c. Suppose a survey participant is randomly selected and you are told that he has a college degree. What is the probability that this man prefers the NFL?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A marketing company has randomly surveyed 190 men who watch professional sports. The men were separated according to their educational level (college degree or not) and
whether they preferred the NBA or the National Football League (NFL). The results of the survey are shown to the right. Complete parts a through d.
Sports
Preference
College
Degree
35
No College O
Degree
53
NBA
NFL
11
91
a. What is the probability that a randomly selected survey participant prefers the NFL?
|(Round to four decimal places as needed.)
b. What is the probability that a randomly selected survey participant has a college degree and prefers the NBA?
|(Round to four decimal places as needed.)
c. Suppose a survey participant is randomly selected and you are told that he has a college degree. What is the probability that this man prefers the NFL?
(Round to four decimal places as needed.)
d. Is a survey participant's preference for the NBA independent of having a college degree?
O No. The two events are not independent.
O Yes. The two events are independent.
Transcribed Image Text:A marketing company has randomly surveyed 190 men who watch professional sports. The men were separated according to their educational level (college degree or not) and whether they preferred the NBA or the National Football League (NFL). The results of the survey are shown to the right. Complete parts a through d. Sports Preference College Degree 35 No College O Degree 53 NBA NFL 11 91 a. What is the probability that a randomly selected survey participant prefers the NFL? |(Round to four decimal places as needed.) b. What is the probability that a randomly selected survey participant has a college degree and prefers the NBA? |(Round to four decimal places as needed.) c. Suppose a survey participant is randomly selected and you are told that he has a college degree. What is the probability that this man prefers the NFL? (Round to four decimal places as needed.) d. Is a survey participant's preference for the NBA independent of having a college degree? O No. The two events are not independent. O Yes. The two events are independent.
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