# statistics

Commercial airliners have a maximum allowable weight of passenger checked baggage. It is known that the distribution of individual passengers checked-in baggage weight has a mean of 42 pounds and a standard deviation of 25 pounds. Suppose that a particular airplane, with a capacity of 125 passengers, can take at most 6,000 pounds of checked baggage. Assuming the plane has no empty seats, what is the approximate probability that the baggage limit will not be exceeded?

a. 0.9791

b. 0.9832

c. 0.9963

d. 1.0000

e. none of these

1. 👍 0
2. 👎 0
3. 👁 118
1. here is a page that will calculate it for you without tables.

6000/125 = 48 pounds

so you want the prob that the weight will be below 48

so enter the mean as 42
the standard dev as 25
and click the below after entering 48

I get .5948

1. 👍 0
2. 👎 0
posted by Reiny

## Similar Questions

1. ### Probability #2

Baggage fees. An airline charges the following baggage fees: \$25 for the rst bag and \$35 for the second. Suppose 54% of passengers have no checked luggage, 34% have one piece of checked luggage and 12% have two pieces. We suppose

asked by Sanaya on January 28, 2016
2. ### Math

Baggage fees. An airline charges the following baggage fees: \$25 for the rst bag and \$35 for the second. Suppose 54% of passengers have no checked luggage, 34% have one piece of checked luggage and 12% have two pieces. We suppose

asked by Sanaya on January 29, 2016
3. ### aviation

How does the modern autopilot system work for commercial airliners?

asked by AL 92 on August 4, 2010
4. ### Math

Which of the following situations corresponds to the equation below? 1/3x + 8 = 18 2/3 Keneda is packing some suitcases to take on a cruise. The cruise line allows each guest to bring up to three pieces of luggage with a limit on

asked by Wendy on November 9, 2015
5. ### physics

It takes the elevator in a skyscraper 3.6 s to reach its cruising speed of 10 m/s. A 69 kg passenger gets aboard on the ground floor. 1.What is the passenger's weight before the elevator starts moving? 2.What is the passenger's

6. ### physics

It takes the elevator in a skyscraper 4.5s to reach its cruising speed of 11m/s . A 70kg passenger gets aboard on the ground floor. What is the passenger's weight before the elevator starts moving? What is the passenger's weight

asked by willia on September 27, 2014
7. ### math

An airline charges the following baggage fees: \$30 for the first bag and \$35 for the second. Suppose 51% of passengers have no checked luggage, 27% have only one piece of checked luggage and 22% have two pieces. We suppose a

asked by Anonymous on June 15, 2019
8. ### ALGEBRA

A Minivan Is Rated For Maximum Carrying Capacity Of 900 Lbs. If The Luggage Weighs 100 Lbs, What Is The Maximum Average Weight Allowable For 5 Passengers?

asked by JD JOHNSON on June 25, 2014
9. ### calculus

You own a small airplane that holds a maximum of 20 passengers. It costs you \$100 per flight from St. Thomas to St. Croix for gas and wages plus an additional \$6 per passenger for the extra gas required by the extra weight. The

asked by Jay on May 2, 2016
10. ### Vector

Your engineering firm plans to design an elevator for a hospital. The force exerted on a passenger by the floor of the elevator is not to exceed 1.60 times the passenger¡¦s weight. The elevator accelerates upward with constant

asked by HelpMaths on September 23, 2014

More Similar Questions