Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A company produces 60% of its product overseas. 3% of its product from overseas

ID: 3131652 • Letter: A

Question

A company produces 60% of its product overseas. 3% of its product from overseas is defective, while only 0.2% of the domestic product is defective. Make a probability tree or a Venn diagram to help you analyze the situation. What is the chance that a randomly picked product is made overseas and is defective? What is the chance that a randomly picked product is domestically produced and defective? What is the chance that a randomly picked product is defective? Given that the product is defective, what is the chance that it was produced domestically?

Explanation / Answer

Suppose there are 1000 products.

overseas

domestic

Defective

18

8

26

non defective

582

392

974

600

400

1000

a). P=18/1000 =0.018

b).   P=8/1000 =0.008

c). P=26/1000 =0.026

d). P=8/26 =0.30769

overseas

domestic

Defective

18

8

26

non defective

582

392

974

600

400

1000

Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
Chat Now And Get Quote