example little bit

QUESTION 3 (10 marks) An electronic factory develops three main lanes of X, Y, Z with the probability 0.45, 0.30, 0.25 respectively to carry out the production. Based on a researcher observation, it has shown that probabilities of defect item for the three lanes are 0.03, 0.15, and 0.05, respectively. Find the probability that the defective item produced by the three main lanes is as following: X = 0.0135 Y = 0.045 (iii) Z =0.0125 (4 marks) Determine the lowest defective production item. (6 marks)