Answer to Question #332714 in Discrete Mathematics for mohi

Question

Q NO.9 (Law of Total Probability) A production house owns three machines. Machine I, machine ii and machine iii, produces 25%, 30% and 40% of output. 5%, 4% and 2% of the output are observed to be defective. Worker draws a random product from the production. What is the probability of product being defective? Q NO.10 (Bayes’ Theorem)A = {x: x N, x < 6} B = {x: x N, 4 < x < 10} Find P (A / B). Q NO.11 (Bayes’ Theorem) Container I incorporate 2 tape balls and 3 footballs. Container 2 incorporates 4 tape balls and 1 football. ContainerIII incorporates 3 tape balls and 4 footballs. A cube having 3 pink, 2 yellow and one green-face, is thrown to choose the container. If pink face turns up, we select up container I, if a yellow face turns up we select up container II, otherwise, we select up container III. Then, we randomly pick a ball from the chosen container. If the ball drawn is tape ball, what’s the probability that the cube had become up with a pink face