Question

Question 2: Basic Probability (New) After graduation, you accept a position at an automotive manufacturer. Your company just received a shipment of raw materials made of aluminum, stainless steel, and cast iron in three separate boxes A, B and C. Box A contains the aluminum parts, box B contains the stainless steel parts, and box C contains the cast iron parts. Box A contains a total of 100 parts, among which 20 are defective. Box B contains 150 parts, among which 25 are defective. Box C contains 200 parts, among which 15 are defective. Use this information to answer question 2a.

Answer 1

P(non defective)=P(from A and non defective)+P(from B and non defective)+P(from C and non defective)

=(100/450)*(80/100)+(150/450)*(125/150)+(200/450)*(185/200)=390/450

hence 2d) P(both are non defective) =(390/450)*(390/450)=0.751