Question

1/10 of the passengers who book a place on the airlines give up the flight independently from other passengers. Airlines A always book 10 people for their 9-seater plane, while airlines B always book 10 people for their 18-seater plane. Determine the probabilities of the number of passengers arriving at the terminal to travel on the aforementioned flights of airlines A and B to be ka and kb, respectively? What is the probability that there are less than 3 passengers on both planes? Which airlines are more likely to have more passengers than seats on the aforementioned flights?

          1/10 of the passengers who book a place on the airlines give up the flight independently from other passengers. Airlines A always book 10 people for their 9-seater plane, while airlines B always book 10 people for their 18-seater plane.
 
Determine the probabilities of the number of passengers
arriving at the terminal to travel on the aforementioned flights of
airlines A and B to be ka and kb, respectively?
What is the probability that there are less than 3 passengers
on both planes?
Which airlines are more likely to have more passengers than
seats on the aforementioned flights?

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Added by Pedro B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Sri K

07/30/2023

Step 1

We can model this situation using the binomial distribution, where the probability of success (a passenger showing up) is $p = 1 - \frac{1}{10} = \frac{9}{10}$, and the probability of failure (a passenger not showing up) is $q = \frac{1}{10}$. For airline A, Show more…

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1/10 of the passengers who book a place on the airlines give up the flight independently from other passengers. Airlines A always book 10 people for their 9-seater plane, while airlines B always book 10 people for their 18-seater plane. Determine the probabilities of the number of passengers arriving at the terminal to travel on the aforementioned flights of airlines A and B to be ka and kb, respectively? What is the probability that there are less than 3 passengers on both planes? Which airlines are more likely to have more passengers than seats on the aforementioned flights?

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