Question 614980
The independent probability of a passenger arriving for a booked flight on a Maxi service is 0.8. The airline booked 225 passengers and there are 195 seats available on Maxi..Use the Normal distribution to find the probability for a given flight more booked passengers arrive than there are seats available.
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Binomial Problem: P(196<= x <=225) with mean = np = 0.8*225 = 180
and std = sqrt(npq) = sqrt(180*0.2) = 6
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normal approximation: P(195.5<= x <=225.5) with u = 180 and s = 6
Ans: normalcdf(195,5,225.5,180,6) = 0.0049
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I used a TI-84 to get that numerical answer.
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Cheers,
Stan H.