Question

An electronics retailer receives a shipment of 6,000CDs to distribute to its stores. A quality control manager inspects a random sample of 40 CDs and finds that 2 are defective. How many CDs in the shipment are likely to be defective? Show your work

Answer 1

Answer: 300

Explanation:

Given , An electronics retailer receives a shipment of 6,000CDs to distribute to its stores.

i.e, Total CD's he has now = 6,000

Also, a quality control manager inspects a random sample(S) of 40CD's , the number of defective(D) CD's are 2.

Then , the proportion of defective( D) CD's =
`(D)/(S)=(2)/(40)=0.05`

Now , the number of CDs in the shipment are likely to be defective = ( Total CD's) x (proportion of defective CD's)

= 6000 x 0.05

=300

Hence, the number of CDs in the shipment are likely to be defective =300