(CO 3) On the production line the company finds that 90.2% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being correctly made would cause you to shut down production

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14-03-2022
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(CO 3) On the production line the company finds that 90.2% of products are made correctly. You are responsible for quality control and take batches of 30 products from the line and test them. What number of the 30 being correctly made would cause you to shut down production

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amcool amcool · Answer 1 · 2022-03-25T12:07:44+01:00

Any number that is less than 27.06 would cause you to shut down production.

What Number Would Cause a Production Shut-Down?

The calculation can be done as follows:

Probability of correctly made product = 90.2%

Probability of NOT correctly made product = 100% - Probability of correctly made product = 100% - 90.2% = 9.80%

Number of products in the batches being tested = 30

The average number of products NOT correctly made = Probability of NOT correctly made product * Number of products in the batches being tested = 9.80% * 30 = 2.94

The average number of products correctly made = Probability of correctly made product * Number of products in the batches being tested = 90.2% * 30 = 27.06

Since the average number of products correctly made is 27.06, any number that is less than 27.06 would cause you to shut down production.

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