Suppose an airline accepted 15 reservations for a commuter plane with 12 seats. They know that 8 reservations went to regular commuters who will show up for sure. The other 7 passen- gers will show up with a 50% chance, independently of each other. Find the probability that the flight will be overbooked, i.e more passengers will show up than seats are available

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Suppose an airline accepted 15 reservations for a commuter plane with 12 seats. They know
that 8 reservations went to regular commuters who will show up for sure. The other 7 passen-
gers will show up with a 50% chance, independently of each other.
Find the probability that the flight will be overbooked, i.e more passengers will show up than
seats are available.
Transcribed Image Text:Suppose an airline accepted 15 reservations for a commuter plane with 12 seats. They know that 8 reservations went to regular commuters who will show up for sure. The other 7 passen- gers will show up with a 50% chance, independently of each other. Find the probability that the flight will be overbooked, i.e more passengers will show up than seats are available.
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