In: Math
*Work on excel*
1. You’ve been assigned to a special quality control task force in your firm to assess the performance reliability of your firm’s three regional factories (Factory A, Factory B, and Factory C) where desk lamps are manufactured.
Your task force collected the following background information
(where A = Factory A; B = Factory B,
C = Factory C, D = defective).
Factory |
Percent of total production |
Probability of defective lamps |
A |
P(A) = 0.35 |
P(D|A) = 0.0015 |
B |
P(B) = 0.35 |
P(D|B) = 0.010 |
C |
P(C) = 0.30 |
P(D|C) = 0.020 |
If a randomly selected lamp is defective,
a. What is the probability that the lamp was manufactured in Factory A?
b. What is the probability that the lamp was manufactured in Factory B?
c. What is the probability that the lamp was manufactured in Factory C?