In a Shirt factory, there are three processes named A,B, and C.They manufactures 25%,35%,40% of production respectively.of these 3%,4%,2% are defective.What is the probability the randomly selected shirt is of the defective one produced by process C?

• To find: Probabiility (shirt is from Process C given that it is defective)
  Solution:
  P(C|defective) = P(C ∩ defective) / P(defective)
  P(defective) = P(A and Defective) + P(B and Defective) + P(C and Defective)
  = 0.0125+0.014+0.008
  = 0.0345
  P(C and Defective) = 0.008
  So, desired probability = 0.008/0.0345 = 0.23188 = 16/69
• 7 years agoHelpfull: Yes(0) No(1)