QUESTION 1 If S = {a,b,c) with P(a) = 4P(b) = 4P(c), find P(c). QUESTION 2 Three machines turn out all the products in a factory, with the first machine producing 39% of the product, the second machine producing 31% of the product, the third machine producing the rest. The first machine produces defective products 6% of the time, the second machine produces defective products 7% of th time, and the third machine produces defective products 2% of the time. Given a defective product, what is the probability it was produced on the first machin QUESTION 3 If an urn has 11 white balls and 7 red balls, what is the probability that 5 randomly selected balls contain at least 4 white balls