Question

A local factory uses a manufacturing process in which 70% of the final products meet quality standards and 30% are found to be defective. if three of the products are randomly selected, find the probability that all of them are acceptable. 0.343 0.027 0.429 2.1

Answer 1

Answer;

0.3430

Solution and explanation;

Probability of a product being acceptable is 70% or 0.7

Probability of the product being defective is 30 % or 0.3

Therefore; If three of the products are randomly selected, the probability that all of them are acceptable will be;

= 0.7 × 0.7 ×0.7 or 0.7 ³ = 0.3430

= 0.3430 .