Answer:
The correct option is b) .
Step-by-step explanation:
The probability of selecting the different types of tires are:
P (A) = 0.40
P (B) = 0.15
P (C) = 0.45
The defective rate for the different types of tires are:
P (D|A) = 0.02
P (D|B) = 0.01
P (D|C) = 0.05
The formula to compute the probability that the tire is defective given that it is Brand A tire as follows: