Mathematics

Mathematics

Problem

A factory has three machines M1M_1, M2M_2 and M3M_3 producing 30%30\%, 45%45\% and 25%25\% of the total output respectively. The percentages of defective items produced by these machines are 2%2\%, 3%3\% and 1.5%1.5\% respectively. If one item is selected at random from the day’s production, what is the probability that it is defective? a) 0.02450.0245 b) 0.01950.0195 c) 0.02330.0233 d) 0.02170.0217

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