Question

A manufacturing process has a 70% yield, meaning that 70% of the products are acceptable and 30% are defective. If three of the products are randomly selected, one after the other, find the probability that all of them are acceptable. Consider these as independent.

Answer 1

`Probability = 34.3\%`

Explanation:

Given

Represent acceptable with A and defective with D

`A = 70\%`

`B = 30\%`

Required

Determine the probability that three selected are acceptable

This can be represented as:

`Probability = AAA`

Substitute values for A

`Probability = 70\% * 70\% * 70\%`

`Probability = 34.3\%`