An appliance manufacturer has three factories (A, B, and C) where they produce both Customized and Non-Customized appliances. The weekly production totals are presented below: A B C Customized 4 3 11 Non-Customized 12 7 17 If one manufactured appliance is chosen at random, find the probability that the appliance is a non-customized model given that it was manufactured at Factory 'A'.

Question

Mathematics

Amiah Haynes

30 September, 15:30

An appliance manufacturer has three factories (A, B, and C) where they produce both Customized and Non-Customized appliances. The weekly production totals are presented below: A B C Customized 4 3 11 Non-Customized 12 7 17 If one manufactured appliance is chosen at random, find the probability that the appliance is a non-customized model given that it was manufactured at Factory 'A'.

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Frank Contreras · Answer 1

75%

Step-by-step explanation:

We have the following table:

A B C

Customized 4 3 11

Non-Customized 12 7 17

If we ask the probability that the appliance is a Non-Customized model given that it was manufactured in Factory 'A'.

First we must calculate the total of the factory 'A', that is, Customized plus Non-Customized:

4 + 12 = 16

And the amount of Non-Customized in A is 12

Therefore the probability is:

12/16 = 0.75

There is a 75% chance that the event will occur.