Acompany has 3 plants that produce a type of component. the first plant produces 30% with a defective rate of 1%. the second plant produces 20% with a defective rate of 2%. the third plant produces 50% with a defective rate of 3%. suppose if we randomly take one component and find it is defective, what is the probability that this component is from the third plant?

0.681

Step-by-step explanation:

Given

Machine 1  produces 30 % component with defective rate of 1%

Machine 2 produces 20 % component with defective rate of 2%

Machine 3 produces 50 % component with defective rate of 3%

Probability that Component is defective

i.e. it can be from A , B or C

P(defective)

Probability it comes From third Plant i.e. From 3

Probability that Component is Defective and it comes from Third Plant

If 40% of students prefer keyboarding, 40/100*40=16 students like it best. If the remaining students prefer English, then 40-16=24 students like English best. Since 24 is more than 16, most students prefer English.