Suppose a small, propellered sea-plane flown by Captain Sita seats 4 passengers. Assume that the airplane is completely full and that the passengers are chosen randomly from the customer population. Assume that the average weight of passengers in the customer population is 195 pounds in the Winter with a standard deviation of 30 pounds. Note that if the airplane is overweight some of the passengers' luggage might be left behind. a) Determine the probability that the actual average weight of the passengers is between 5 and 15 percent greater than the average weight in the customer population. Be sure to show your work!

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
icon
Related questions
Question

4. HANDWRITTEN THEN BOX THE FINAL ANSWERS

Problem 4 Small Airplanes (Work individually!)
Suppose a small, propellered sea-plane flown by Captain Sita seats 4 passengers. Assume that
the airplane is completely full and that the passengers are chosen randomly from the customer
population. Assume that the average weight of passengers in the customer population is 195
pounds in the Winter with a standard deviation of 30 pounds.
Note that if the airplane is overweight some of the passengers' luggage might be left behind.
a) Determine the probability that the actual average weight of the passengers is between 5 and
15 percent greater than the average weight in the customer population. Be sure to show your
work!
b) Determine the probability that the actual average weight of the passengers is between 15 and
25 percent greater than the average weight in the customer population. Be sure to show your
work!
c) Suppose that Paul weighs 400 pounds and the other passengers, including Lucette, weigh
550 pounds total. First, calculate the average weight of the four passengers, including Paul.
Then, determine the percentile of this average. Be sure to show your work!
Transcribed Image Text:Problem 4 Small Airplanes (Work individually!) Suppose a small, propellered sea-plane flown by Captain Sita seats 4 passengers. Assume that the airplane is completely full and that the passengers are chosen randomly from the customer population. Assume that the average weight of passengers in the customer population is 195 pounds in the Winter with a standard deviation of 30 pounds. Note that if the airplane is overweight some of the passengers' luggage might be left behind. a) Determine the probability that the actual average weight of the passengers is between 5 and 15 percent greater than the average weight in the customer population. Be sure to show your work! b) Determine the probability that the actual average weight of the passengers is between 15 and 25 percent greater than the average weight in the customer population. Be sure to show your work! c) Suppose that Paul weighs 400 pounds and the other passengers, including Lucette, weigh 550 pounds total. First, calculate the average weight of the four passengers, including Paul. Then, determine the percentile of this average. Be sure to show your work!
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL