Roller coaster ride: A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster can hold safely is 12,000 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 199 pounds and standard deviation 73 pounds, and the weights of adult U.S. women have mean 169 pounds and standard deviation 82 pounds. Use the TI-84 Plus calculator. Answer the three following questions.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
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Roller coaster ride: A roller coaster is being designed that will accommodate 60 riders. The maximum weight the coaster can hold safely is 12,000 pounds. According to the National Health Statistics Reports, the weights of adult U.S. men have mean 199 pounds and standard deviation 73 pounds, and the weights of adult U.S. women have mean 169 pounds and standard deviation 82 pounds. Use the TI-84 Plus calculator. Answer the three following questions.
Part 1 of 3
(a) If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average welght?
The average weight is
pounds.
Part 2 of 3
(b) If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be
exceeded? Round the answer to at least four decimal places.
If a random sample 60 adult men ride the coaster, the probability that the maximum safe
weight will be exceeded is
Transcribed Image Text:Part 1 of 3 (a) If 60 people are riding the coaster, and their total weight is 12,000 pounds, what is their average welght? The average weight is pounds. Part 2 of 3 (b) If a random sample of 60 adult men ride the coaster, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places. If a random sample 60 adult men ride the coaster, the probability that the maximum safe weight will be exceeded is
Part 3 of 3
(c) If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will be
exceeded? Round the answer to at least four decimal places.
If a random sample 60 adult women ride the coaster, the probability that the maximum safe
weight will be exceeded is
Transcribed Image Text:Part 3 of 3 (c) If a random sample of 60 adult women ride the coaster, what is the probability that the maximum safe weight will be exceeded? Round the answer to at least four decimal places. If a random sample 60 adult women ride the coaster, the probability that the maximum safe weight will be exceeded is
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