Question

A quality-control manager went to 4 cell phone factories and tested the defects from a sample of phones in each factory. The results are shown below:

	Major Defect	Minor Defect	No Defect	Total
Factory 1	8	25	951	984
Factory 2	12	29	970	1011
Factory 3	15	22	983	1020
Factory 4	12	17	956	985
Total	47	93	3860	4000

Find the following probabilities: SHOW YOUR FRACTION WORK and round your answers to 3 decimal places.

a) P(Factory 1)

b) P(No Defect and Factory 4)

c) P(Minor Defect or Major Defect)

d) P(Factor 2 or No Defect)

e) P(Factory 1 | Minor Defect)

f) Based on parts a & e, are the events of Factory 1 and Minor Defect independent events? Answer either yes or no.

Answer 1