SOLUTION: Consumer Reports rated airlines and found that 87% of the flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time). Assuming that the on

Algebra ->  Probability-and-statistics -> SOLUTION: Consumer Reports rated airlines and found that 87% of the flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time). Assuming that the on      Log On


   



Question 858129: Consumer Reports rated airlines and found that 87% of the flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time). Assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of 212 flights. (Round your answers to two decimal places.)
What is the expected number that will arrive on time?

What is the standard deviation of this distribution?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Consumer Reports rated airlines and found that 87% of the flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time).
Assuming that the on-time arrival rate is representative of the entire commercial airline industry,
consider a random sample of 212 flights. (Round your answers to two decimal places.)
What is the expected number that will arrive on time?
R(x) = np = 212*0.87 = 184.44
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What is the standard deviation of this distribution?
std = sqrt(npq) = sqrt(184.44*0.13) = 4.90
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Cheers,
Stan H.
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