1. (35 marks) Suppose a quality manager for XYZ Computers has collected the following

data on the quality status of disk drives by suppliers. She inspected a total of 700 disk

drives and found the following results

Drive Status

Supplier Working Defective

Company A 120 10

Company B 180 15

Company C 50 5

Company D 300 20

(a) (5 marks) Based on these inspection data, what is the probability, P (B), of randomly selecting a disk drive supplied by Company B?

(b) (5 marks) What is the probability, P (DefectjB), of a defect given that Company B supplied the disk drive?

(c) (25 marks) Suppose a defect has been found. Can we use either P (B) or P (DefectjB) derived in parts a and c as the percentage to split the cost of a defective driver to supplier B? If not, what is the correct percentage? Specify your reason clearly

(35 marks) Suppose a quality manager for XYZ Computers has collected the following data on the quality status of disk drives by suppliers. She inspected a total of 700 disk drives and found the following results Drive Status Supplier Working Defective Company A 120 10 Company B 180 15 Company C 50 5 Company D 300 20 (a) (5 marks) Based on these inspection data, what is the probability, P (B), of randomly selecting a disk drive supplied by Company B? (b) (5 marks) 'Wllat is the probability, P (Defect|B), of a defect given that Company B supplied the disk drive? (c) (25 marks) Suppose a defect has been found. Can we use either P (B) or P (Defect|B) derived in parts a and c as the percentage to split the cost of a defective driver to supplier B? If not, what is the correct percentage? Specify your reason clearly