Answer to Question #45607 in Statistics and Probability for Stilla

Question

(a) A stamping machine produces ‘can tops’ whose diameters are normally distributed with a standard deviation of 0.02 inch. At what nominal mean diameter should the machine be set, so that no more than 9 % of the ‘can tops’ produced have diameters exceeding 3.5 inches?

(b) Let A and B be independent events with P (A) = 1/4 and P (A U B) = 2P (B) − P (A).
Find (a). P (B); (b).P (A|B); and (c). P (Bc|A).