**Scenario: Airline Reservations and Probability**A small regional carrier accepted 11 reservations for a particular flight with 10 seats. Among these, 8 reservations were made by regular customers who will definitely arrive for the flight. Each of the remaining passengers has a 43% probability of arriving for the flight, independently of each other.**Objective: Calculate the Probabilities**1. **Probability of Overbooking:** Determine the likelihood that more than 10 passengers show up for the flight.2. **Probability of Empty Seats:** Determine the likelihood that fewer than 10 passengers show up, leaving some seats vacant.*Note: All answers should be accurate to four decimal places.*

Binomial distribution: The binomial distribution gives the probability of number of successes out of…

A small regional carrier accepted 11 reservations for a particular flight with 10 seats. 8 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 43% chance, independently of each other. (Report answers accurate to 4 decimal places.) Find the probability that overbooking occurs. Find the probability that the flight has empty seats.

A small regional carrier accepted 11 reservations for a particular flight with 10 seats. 8 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 43% chance, independently of each other. (Report answers accurate to 4 decimal places.) Find the probability that overbooking occurs. Find the probability that the flight has empty seats.

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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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Scenario: Airline Reservations and Probability**

A small regional carrier accepted 11 reservations for a particular flight with 10 seats. Among these, 8 reservations were made by regular customers who will definitely arrive for the flight. Each of the remaining passengers has a 43% probability of arriving for the flight, independently of each other.

**Objective: Calculate the Probabilities**

1. **Probability of Overbooking:**
Determine the likelihood that more than 10 passengers show up for the flight.

2. **Probability of Empty Seats:**
Determine the likelihood that fewer than 10 passengers show up, leaving some seats vacant.

*Note: All answers should be accurate to four decimal places.*

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