SOLUTION: Airline overbooking is a common practice. Due to uncertain plans, many people cancel at the last minute or simply fail to show up. Air Eagle is a small commuter airline. Its past r

Question 610176: Airline overbooking is a common practice. Due to uncertain plans, many people cancel at the last minute or simply fail to show up. Air Eagle is a small commuter airline. Its past records indicate that 80% of the people who make a reservation will show up for the flight. The other 20% do not show up. Air Eagle decided to book 12 people for today�s flight. Today�s flight has just 10 seats.
1. Find the probability that there are enough seats for all the passengers who show up. (Hint: Find the probability that in 12 people, 10 or less show up.)
2. How many passengers are expected to show up?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Airline overbooking is a common practice. Due to uncertain plans, many people cancel at the last minute or simply fail to show up. Air Eagle is a small commuter airline.
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Its past records indicate that 80% of the people who make a reservation will show up for the flight. The other 20% do not show up. Air
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Eagle decided to book 12 people for today�s flight. Today�s flight has just 10 seats.
1. Find the probability that there are enough seats for all the passengers who show up. (Hint: Find the probability that in 12 people, 10 or less show up.)
Pinomial Problem with n = 12 and p(show up) = 0.8
P(0<= x <=10) = binomcdf(12,0.8,10) = 0.7152
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2. How many passengers are expected to show up?
E(x) = np = 12(0.8) = 7.2
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Cheers,
Stan H.
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