In a manufacturing process, 10% of the parts contain visible surface flaws and 25% of the parts with surface flaws are (functionally) defective parts. However, only 5% of parts without surface flaws are defective parts. Given this information find the following:

a.) The probability that a part would be classified as a defective part.

b.) The probability that a part would not be classified as a defective part.

c.) Knowing that the part is not defective, what is the probability that the part contains visible surface flaws?

d.) Is the following independent: Part has visible surface flaws and Part is classified as defective. Explain why or why not.