Statistic

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An airline experiences a no-show rate of 6%. What is the maximum number of reservations that it could accept for a flight with a capacity of 160, if it wants the probability of accommodating all reservation holders to be at least 95%.

• Statistic -

Use the normal approximation to the binomial distribution.

mean = np
standard deviation = √npq

Therefore:
mean = .94n
standard deviation = √(n)(.94)(.06) = √(.0564n)

Using z-scores:
z = (x - mean)/sd
With the data:
1.645 = (160 - .94n)/√(.0564n)

Solve for n.

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