Product 1 Product 2 Product 3 Total
Acceptable 156 350 204 710
Unacceptable 24 40 26 90
Total 80 390 230 800
A sample of 800 parts has been selected from three product lines and inspected by the quality control department. The given table summarizes the results of the inspection. If a part is selected at random from this sample, what is the probability that:
i) The part is of the product 1 type
ii) The part is unacceptable?
iii) The part is an acceptable unit of product 3?
iv) The part is an unacceptable unit of product 1?
v) The part is acceptable, given that the selected part is a unit of product 2?
vi) The part is product 1, given that the selected part is acceptable?
vii) The part is product 3, given that the selected part is unacceptable?