Question

A manufacturing machine has a 7% defect rate. if 5 items are chosen at random, what is the probability that at least one will have a defect? mhf

Answer 1

Answer:

30.4%

Step-by-step explanation:

Probability that the 5 chosen are not defective = (1 - 0.07)^5

= 0.93^5

= 0.696

So the probability that there is at least one defective = 1 - 0.696

= 0.304

= 30.4 %

Answer 2

The probability of randomly choosing atleast one defective item would be 0.3043

Given the Parameters :

• Defect rate = P(defect) = 0.07

Probability = required outcome / Total possible outcomes

• P(atleast 1 is defective) = 1 - P(none is defective)

P(not defective) = 1 - P(defective) = 1 - 0.07 = 0.93

P(none is defective) = P(non defective)^5

P(none defective) = 0.93 × 0.93 × 0.93 × 0.93 × 0.93 = 0.6957

P(atleast one is defective) = 1 - 0.6957 = 0.3043

Therefore, probability of atleast one defective item is 0.3043.

Learn more : https://brainly.com/question/18405415