The process of manufacturing light bulbs has an 001 probabil

The process of manufacturing light bulbs has an 0.01 probability of creating a defective bulb. 25 light bulbs are packaged in a box. As a quality control check, a few bulbs (start with the number 3) are taken from each box and checked before shipping. If any defectives are found in the sample, the entire box is not shipped.

What is the probability that a box containing any defective items is shipped?

What is the probability that a box containing zero or one defective items is shipped following the quality control check?

Perhaps the quality control workers get lazy, and they ship boxes where zero or one defective items are found. What is the probability that the shipped box contains zero or one defective items?

What is the minimum sample size if the manufacturer wants the probability of shipping any defective items to be less than 5%?

What is the minimum sample size if the manufacturer wants the probability of shipping one or more defective items to be less than 2%?

Solution