Business Statistics

From past experience, an airline has found the
luggage weight for individual air travelers on its trans-
Atlantic route to have a mean of 80 pounds and a
standard deviation of 20 pounds. The plane is
consistently fully booked and holds 100 passengers.
The pilot insists on loading an extra 500 pounds of fuel
whenever the total luggage weight exceeds 8300 pounds.
On what percentage of the flights will she end up having
the extra fuel loaded?

  1. 👍
  2. 👎
  3. 👁
  1. Mean luggage weight = 80*100=8000 pounds
    Standard deviation = 20*100 = 2000 pounds
    8300 pounds exceeds the mean by 300/2000=0.15σ

    Assuming a normal distribution, look up standard tables where Z=0.15 to get a tail probability f(α) of 0.4404 (for the weight to be over 8300 pounds).

    Hence calculate the percentage of flights which require extra fuels.

    1. 👍
    2. 👎
  2. 44%

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. calculus

    With x people on board, a South African airline makes a profit of (1104 − 3 x) rands per person for a specific flight. A. How many people would the airline prefer to have on board? Answer: x= B. What is the maximum number of

  2. 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

  3. statistics

    From experience, an airline knows that only 80% of the passengers booked for a certain flight actually show up. If 8 passengers are randomly selected, find the probability that fewer than 7 of them show up.

  4. Calc

    Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above the, air pressure, P, in inches of mercury, is given by, P =30e^(-3.23x10-5h) a)Find th equation of the tangent line at h=0. b)A rule of thumb is

  1. English

    The day we found the sharks' teeth was foggy and cool. Moisture hung in the air so thick you could almost see it sparkling in the dim sunlight. There were days, early in the summer like this one, where it seemed there was more

  2. Physics

    A stunt pilot in an air show performs a loop-the-loop in a vertical circle of radius 3.70 103 m. During this performance the pilot whose weight is 740 N, maintains a constant speed of 2.25 102 m/s. (a) When the pilot is at the

  3. Biology

    28. A community located downwind from a power plant that burns high-sulfur coals a. may experience the effects of acid rain b. is safe since pollution from the plant is dispersed by wind c. will experience ozone depletion in the

  4. prob. & stat

    A traveler has 7 pieces of luggage. How many ways can he select 3 pieces of luggage for a trip? a. 5040 b. 210 c. 35 d. 28

  1. statistics (6)

    The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is

  2. An airline requires carry-on luggage to weigh at m

    An airline requires carry-on luggage to weigh at most 40 pounds. Your suitcase currently weighs 10 pounds. How many pounds p are available for you to fill your suitcase with other items?

  3. Statistics

    A study conducted by an airline showed that a random sample of nine of its passengers disembarking at the Cleveland airport, took an average of 24.1 minutes to claim their luggage. From a previous survey it was willing to assume

  4. statistics

    The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is

You can view more similar questions or ask a new question.