SOLUTION: On a certain daily flight, Northeast Air has a policy of booking as many as 20 people on an airplane that can seat only 17. (Past studies reveal that only 80% of the booked passen

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Question 354109: On a certain daily flight, Northeast Air has a policy of booking as many as 20 people on an airplane that can seat only 17. (Past studies reveal that only 80% of the booked passengers actually arrive for the flight.)
a. Using the Binomial Distribution, find the probability that if Northeast books 20 people on a flight, not enough seats will be available for all booked passengers that show up. (What percent of the time does at least one person not get a seat?)
b. What is the mean and standard deviation of those who show up?
c. What is the probability that everyone that shows up (100%) will get a seat?
Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website!
(x+y)^20 when x=.2 and y=.8
190x^2y^18+20xy^19+y^20=.206=20.6% percent of the time does at least one person not get a seat.
.
.8*20=16 mean of those who show up.
sqrt(20*.8*.2)=sqrt(3.2)=1.79 standard deviation.
.
y^20=.0115 probability all 20 show up.
.
Ed