**Understanding the Aircraft Emergency Locator Transmitter (ELT) Market**An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in case of a crash. The distribution of market share among manufacturers is as follows:- **Altigauge Manufacturing Company** produces 80% of all ELTs.- **Bryant Company** manufactures 15% of ELTs.- **Chartair Company** covers 5% of the production.The defect rates for each company are:- **Altigauge**: 4% rate of defects- **Bryant**: 6% rate of defects- **Chartair**: 9% rate of defects (this higher defect rate likely contributes to its lower market share)**Probability Questions:**a. If an ELT is randomly selected from the general population of ELTs, determine the probability that it was made by the Altigauge Manufacturing Company.b. Upon testing, if a randomly selected ELT is found to be defective, calculate the probability that it was manufactured by the Altigauge Manufacturing Company.c. Determine the probability that a randomly selected ELT is defective.

Define the following events: A: ELT is designed by Altigauge Manufacturing company B: ELT is…

a. If an ELT is randomly selected from the general population of all ELTS, find the probability that it was made by the Altigauge Manufacturing Company. b. If a randomly selected ELT is then tested and is found to be defective, find the probability that it was made by the Altigauge Manufacturing Company.

a. If an ELT is randomly selected from the general population of all ELTS, find the probability that it was made by the Altigauge Manufacturing Company. b. If a randomly selected ELT is then tested and is found to be defective, find the probability that it was made by the Altigauge Manufacturing Company.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

**Understanding the Aircraft Emergency Locator Transmitter (ELT) Market**

An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in case of a crash. The distribution of market share among manufacturers is as follows:

- **Altigauge Manufacturing Company** produces 80% of all ELTs.
- **Bryant Company** manufactures 15% of ELTs.
- **Chartair Company** covers 5% of the production.

The defect rates for each company are:

- **Altigauge**: 4% rate of defects
- **Bryant**: 6% rate of defects
- **Chartair**: 9% rate of defects (this higher defect rate likely contributes to its lower market share)

**Probability Questions:**

a. If an ELT is randomly selected from the general population of ELTs, determine the probability that it was made by the Altigauge Manufacturing Company.

b. Upon testing, if a randomly selected ELT is found to be defective, calculate the probability that it was manufactured by the Altigauge Manufacturing Company.

c. Determine the probability that a randomly selected ELT is defective.

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