SOLUTION: 42. A particular product is produced by only two companies – A and B. Company A produces 65% of the product and company B produces the remaining 35%. 8% of the product produced by

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Question 1088730: 42. A particular product is produced by only two companies – A and B. Company A produces 65% of the product and company B produces the remaining 35%. 8% of the product produced by A is defective and 12% of the product produced by B is defective.
A) A product is randomly selected what is the probability that it is produced by A?
B) A product is randomly selected what is the probability that it will be defective?
C) A product is randomly selected and found to be defective. What is the probability that it is produced by A?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
Use 1000 as a total and make a contingency table
======A===============B
Defect-52-------------------42----------94
ND-----598-----------------308--------906
Total---650---------------350---------1000
a. 65%, that is given.
b. 9.4% from the right part of the contingency table
c. 52/94 was made by A or 55.3%

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