Problem 5 (15 points): The vaccine can be purified by one of three different machines: Machine A, Machine B, or Machine
Posted: Wed May 11, 2022 7:48 pm
Problem 5 (15 points): The vaccine can be purified by one of three different machines: Machine A, Machine B, or Machine C. The probability of a defect if Machine A is used is 0.009. The probability of a defect if Machine B is used is 0.002. The probability of a defect if Machine C is used is 0.06. Of 1500 products sampled, 300 were processed on Machine A, 700 were processed on Machine B, and the remainder on Machine C. 1) What is the probability of producing a defect at the purification step?
2) Given that there is a defect, what is the probability that it was processed on: a a) Machine A?
b) Machine B?
c) Machine C?
2) Given that there is a defect, what is the probability that it was processed on: a a) Machine A?
b) Machine B?
c) Machine C?