SOLUTION: In manufacturing a product, 85% of the products that are produced are not defective. Of the products inspected, 10% of the good ones are seen as defective and not shipped, whereas

Question 921918: In manufacturing a product, 85% of the products that are produced are not defective. Of the products inspected, 10% of the good ones are seen as defective and not shipped, whereas only 5% of the defective products are approved and shipped. If a product is shipped, what is the probability that it is defective?
Answer by tempx(1) (Show Source): You can put this solution on YOUR website!
Defective = D
Shipped = S
Givens:
P(!D) = .85
P(D) = .15
P(!S|!D) = .1
P(S|!D) = .9
P(S|D) = .05
P(!S|D) = .95
We use Bayes' theorem to solve:
P(D|S)=(P(S|D)P(D))/(P(S|D)P(D)+P(S|!D)*P(!D)) = .0097
RELATED QUESTIONS
In a manufacturing process, it is estimated that 1% of the products are defective. If a... (answered by Fombitz)

Three are 15 defective products in a box containing 60 products. If 4 products are... (answered by ikleyn)

In a certain firm, the defective products will be checked to. Past experience shows that... (answered by stanbon)

Please help me with the following problem. Thank you. In a factory, products are... (answered by stanbon)

A manufacturer knows that 11% of the products it produces are defective. Find the... (answered by ikleyn)

It is known that 20% of products on a production line are defective. Products are... (answered by Boreal)

Machines A, B,C of a ballpoint pen manufacturing industry produces 20%,30% and 50% of... (answered by greenestamps)

a manufacturing process has a 70% yield, meaning that 70% of the porducts are acceptable... (answered by stanbon)

THE MEAN NUMBER OF DEFECTIVE PRODUCTS PRODUCED IN A FACTORY IN ONE DAY IS 21.WHAT IS THE... (answered by mathmate)