Question

2. 120 castings are produced by die casting process. The castings are inspected to check their surface roughness and dimensional accuracy. The results from 120 castings are summarized as the following: Dimensional Accuracy good 85 10 Bad 15 10 Surface Roughness High Low Let A denote the event that a casting has high surface roughness, and let B denote the event that a casting has bad dimensional accuracy. Determine the number of castings in a) An B b) An B' c) AU B d) A'U B 3. Using the table in question (2) Provide detailed calculations to answer the following: (a) Find the probability that a randomly selected casting will yield good dimensional (b) Find the probability that a randomly selected casting will yield good dimensional (c) Find the probability that a randomly selected casting will yield good dimensional (d) If a randomly selected casting is found to have good dimensional accuracy then find accurac)y accuracy and low surface roughness. accuracy or low surface roughness the probability that is with high surface roughness.

Answer 1