The problem of matching aircra

The problem of matching aircraft to passenger demand on eachflight leg is called the flight assignment problem in the airlineindustry. Suppose the demand for the 6 p.m. flight from ToledoExpress Airport to Chicago’s O’Hare Airport on Cheapfare Airlinesis normally distributed with a mean of 144 passengers and astandard deviation of 42. Round probabilities in parts (a) through(c) to four decimal places. a) Suppose a Boeing 757 with a capacityof 186 passengers is assigned to this flight. What is theprobability that the demand will exceed the capacity of thisairplane? b) What is the probability that the demand for thisflight will be at least 94 passengers but no more than 200passengers? c) What is the probability that the demand for thisflight will be less than 100 passengers? Round answers in parts (d)and (e) to the nearest whole number. d) If Cheapfare Airlines wantsto limit the probability that this flight is overbooked to 1%, howmuch capacity should the airplane that is used for this flighthave? passengers e) What is the 65th percentile of thisdistribution?



for normal distribution z score =(X-μ)/σx
here mean=       μ= 144
std deviation   =σ= 42.0000

  probability that the demand will exceed the capacityof this airplane:

probability = P(X>186) = P(Z>1)= 1-P(Z<1)= 1-0.8413= 0.1587


  probability that the demand for this flight will beat least 94 passengers but no more than 200 passengers:

probability = P(94<X<200) = P(-1.19<Z<1.33)= 0.9082-0.1170= 0.7912


  probability that the demand for this flight will beless than 100 passengers:

probability = P(X<100) = P(Z<-1.05)= 0.1469


for 99th percentile critical value of z= 2.33
thereforecorresponding value=mean+z*std deviation= 241.9~ 242


for 65th percentile critical value of z= 0.39
thereforecorresponding value=mean+z*std deviation= 160.4 ~160

"Our Prices Start at $11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!"

Calculate your order
Pages (275 words)
Standard price: $0.00
Client Reviews
Our Guarantees
100% Confidentiality
Information about customers is confidential and never disclosed to third parties.
Original Writing
We complete all papers from scratch. You can get a plagiarism report.
Timely Delivery
No missed deadlines – 97% of assignments are completed in time.
Money Back
If you're confident that a writer didn't follow your order details, ask for a refund.

Calculate the price of your order

You will get a personal manager and a discount.
We'll send you the first draft for approval by at
Total price:
Power up Your Academic Success with the
Team of Professionals. We’ve Got Your Back.
Power up Your Study Success with Experts We’ve Got Your Back.