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

Answer:

$Probability = 34.3\%$

Step-by-step 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

$Probability = 70\% * 70\% * 70\%$

$Probability = 34.3\%$