A small regional carrier accepted 21 reservations for a particular flight with 20 seats. 18 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 57% chance, independently of each other. Hint: Use the binomial distribution with p = 0.57. (Report answers accurate to 4 decimal places.) Find the probability that overbooking occurs. Find the probability that the flight has empty seats.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A small regional carrier accepted 21 reservations for a
particular flight with 20 seats. 18 reservations went to
regular customers who will arrive for the flight. Each of the
remaining passengers will arrive for the flight with a 57%
chance, independently of each other.
Hint: Use the binomial distribution with p = 0.57.
(Report answers accurate to 4 decimal places.)
Find the probability that overbooking occurs.
Find the probability that the flight has empty seats.
Transcribed Image Text:A small regional carrier accepted 21 reservations for a particular flight with 20 seats. 18 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 57% chance, independently of each other. Hint: Use the binomial distribution with p = 0.57. (Report answers accurate to 4 decimal places.) Find the probability that overbooking occurs. Find the probability that the flight has empty seats.
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Step 1: Given information

A small regional carrier accepted 21 reservations for a particular flight with 20 seats.

18 reservations went to regular customers who will arrive for the flight.

Each of the remaining passengers will arrive for the flight with a 57 percent sign chance, independently of each other.

i.e. p equals 0.57

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