Question

On the production line the company finds that 99.7% 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 incorrectly made would cause you to shut down production? Less than 29 Less than 30 Less than 25 Less than 28

Answer 1

correct option is Less than 29

Step-by-step explanation:

given data

probability of correct product P = 99.7 %

no of product n = 30

to find out

What number of the 30 being incorrectly made would cause you to shut down production

solution

we know here probability of incorrect production = 100 - 99.7 = 0.3%

so here out of 30 sample

permissible incorrect production are = 0.3% of 30

permissible incorrect production = 0.9

so we can say that correct product = 30 - 0.9 = 29.1 product

so there will be 29.1 correct products

and anything lesser will lead to plant shut down

so correct option is Less than 29