A bike manufacturing factory has two plants P and Q. Plant P manufactures 60 percent of bikes and plant Q manufacture 40 percent. 80 percent of the bikes at…
A bike manufacturing factory has two plants P and Q. Plant P manufactures 60 percent of bikes and plant Q manufacture 40 percent. 80 percent of the bikes at plant P and 90 percent of the bikes at plant Q are rated of standard quality. A bike is chosen at random and is found to be of standard quality. What is the probability that it has come from plant P?
Show answerHide answer
Correct answer: (D) 4/7
Explanation
By Bayes' theorem, P(P | standard) = (0.6 × 0.8) / (0.6 × 0.8 + 0.4 × 0.9) = 0.48 / 0.84 = 4/7.