An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. The Altigauge Manufacturing Company makes 80% of the ELTS, the Bryant Company makes 15% of them, and the Chartair Company makes the other 5%. The ELTS made by Altigauge have a 4% rate of defects, the Bryant ELTS have a 6% rate of defects, and the Chartair ELTS have a 9% rate of defects (which helps to explain why Chartair has the lowest market share). i) 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. If a randomly selected ELT is then tested and is found to be ii) defective, find the probability that it was made by the Altigauge Manufacturing Company.

An aircraft emergency locator transmitter (ELT) is a device designed to transmit a signal in the case of a crash. The Altigauge Manufacturing Company makes 80% of the ELTS, the Bryant Company makes 15% of them, and the Chartair Company makes the other 5%. The ELTS made by Altigauge have a 4% rate of defects, the Bryant ELTS have a 6% rate of defects, and the Chartair ELTS have a 9% rate of defects (which helps to explain why Chartair has the lowest market share). i) 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. If a randomly selected ELT is then tested and is found to be ii) 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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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

An aircraft emergency locator transmitter (ELT) is a device designed to
transmit a signal in the case of a crash. The Altigauge Manufacturing
Company makes 80% of the ELTS, the Bryant Company makes 15% of
them, and the Chartair Company makes the other 5%. The ELTS made
by Altigauge have a 4% rate of defects, the Bryant ELTS have a 6% rate
of defects, and the Chartair ELTS have a 9% rate of defects (which helps
to explain why Chartair has the lowest market share).
i)
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.
If a randomly selected ELT is then tested and is found to be
ii)
defective, find the probability that it was made by the
Altigauge Manufacturing Company.

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