Calculating Probabilities for the Total Discount Rate

A manufacturer has two plants that produce the same product...Plant A and Plant B...Plant A has 60% of the total production and has a 5% defective rate...Plant B has 40% of the total production with a 7.5% defective rate...

1. What is the total defect rate? I came up with 6%...????

2. A randomly selected product was defective. What is the probability that it came from Plant A?

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... two ratios together, you get 15/120= 12.5 %
<br>(Note that if each plant would have contributed 50% production, then the ...