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NASCAR Fans Among Americans who consider themselves auto
Chapter 5, Problem 26E(choose chapter or problem)
Problem 26E
NASCAR Fans Among Americans who consider themselves auto racing fans, 59% identify NASCAR stock cars as their favorite type of racing. Suppose that four auto racing fans are randomly selected.
(a) What is the probability that all four will identify NASCAR stock cars as their favorite type of racing?
(b) What is the probability that at least one will not identify NASCAR stock cars as his or her favorite type of racing?
(c) What is the probability that none will identify NASCAR stock cars as his or her favorite type of racing?
(d) What is the probability that at least one will identify NASCAR stock cars as his or her favorite type of racing?
Questions & Answers
QUESTION:
Problem 26E
NASCAR Fans Among Americans who consider themselves auto racing fans, 59% identify NASCAR stock cars as their favorite type of racing. Suppose that four auto racing fans are randomly selected.
(a) What is the probability that all four will identify NASCAR stock cars as their favorite type of racing?
(b) What is the probability that at least one will not identify NASCAR stock cars as his or her favorite type of racing?
(c) What is the probability that none will identify NASCAR stock cars as his or her favorite type of racing?
(d) What is the probability that at least one will identify NASCAR stock cars as his or her favorite type of racing?
ANSWER:
Solution:
Step 1 of 3:
Among Americans who consider themselves auto racing fans, 59% identify NASCAR stock cars as their favorite type of racing.
Four auto racing fans are randomly selected.
We have to find the following probabilities.
- All four will identify NASCAR stock cars as their favorite type of racing.
- At least one will not identify NASCAR stock cars as his or her favorite type of racing.
- None will identify NASCAR stock cars as his or her favorite type of racing.
- At least one will identify NASCAR stock cars as his or her favorite type of racing.