SOLUTION: Q-4: [7+3+5+5Marks] A manufacturer has 3 machines〖 B〗_1,B_2 and B_3, make 35%, 40% and 25%, respectively, of the products. It is known from experience that 2%, 3% and 1% of th

Question 1169805: Q-4: [7+3+5+5Marks] A manufacturer has 3 machines〖 B〗_1,B_2 and B_3, make 35%, 40% and 25%, respectively, of the products. It is known from experience that 2%, 3% and 1% of the products made by each machine respectively are defective. If a finished product is randomly selected:
A-What is the probability that it is defective?
B-What is the probability that it is not defective?
C-If the product is defective, what is the probability it was made by machineB_3?
D-If the product is not defective, what is the probability that it was made by machineB_1?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
--------D--------ND-----Total
B1------7--------343----350
B2-----12--------388----400
B3-----2.5-------247.5---250
--------21.5------978.5--1000
probability defective is 2.15% skewed towards the left a little consistent with B1 and B2 predominating.
-
not defective is the complement or 97.85%
-
if defective, made by B3 is 2.5/21.5 or 11.63% probability
-
if not defective, 343/978.5 made by B1 or 35.05%
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