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There Are Three Companies That Produce a Critical Electronic Navigation

question 9

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There are three companies that produce a critical electronic navigation component (ENC) used in the aerospace industry.These companies are Alice Manufacturing, Byte International, and Cognizant Technologies.Alice makes 85% of the ENCs, Byte makes 10%, and Cognizant makes the remaining 5%.The ENCs made by Alice have a 2.5% rate of defects, the ones made by Byte have a 4.0% rate of defects, and the ones made by Cognizant have a 6% rate of defects.If an ENC is randomly selected from the general population of ENCs, the probability that it was made by Alice is _______.If this ENC is later tested and found to be defective, the probability that it was made by Alice is _______.


Definitions:

Double-Masked

A study design in which neither the participants nor the researchers know which participants belong to the control group and which to the experimental group, to prevent bias.

Correlation

A statistical measure that describes the extent to which two variables change together, and the direction (positive or negative) of that relationship.

Magnitude

The size, extent, or importance of something, often quantified in terms of measurements or impact.

Case Study

An in-depth analysis of a particular subject, group, or event to explore causation in order to find underlying principles.

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