A television manufacturer has three locations where it is fi

A television manufacturer has three locations where it is finally assembled. Plants A, B, and C supply 53%, 25%, and 22% respectively of the televisions used by the manufacture. Quality control has determined that 2% produced by Plant A are defective, while 3% from Plant B and 4% from Plant C produce defective products. 4. What is the probability of finding a defective television?

Solution

Let

D = defective

Hence

P(D) = P(A) P(D|A) + P(B) P(D|B) +P(C) P(D|C)

= 0.53*0.02 + 0.25*0.03 + 0.22*0.04

= 0.0269 [ANSWER]