What is the probability that a randomly selected survey participant prefers the NFL? (Round to four decimal places as needed.) 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.) 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?

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A marketing company has randomly surveyed 200 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 Preference
League (NFL). The results of the survey are shown to the right. Complete parts a through d.
College
Degree
35
No College
Degree
57
Sports
NBA
NFL
13
95
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 Yes. The two events are independent.
O No. The two events are not independent.
Transcribed Image Text:A marketing company has randomly surveyed 200 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 Preference League (NFL). The results of the survey are shown to the right. Complete parts a through d. College Degree 35 No College Degree 57 Sports NBA NFL 13 95 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 Yes. The two events are independent. O No. The two events are not independent.
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