5. Seventy percent of clay pots are produced by Machine 1 and 30% by Machine 2. Among all pots produced by Machine 1, 4% are defective, and of those produced by Machine 2, 8% are defective. a) What percentage of the total produced are defective? (0.70)(0.04) + (0.30)(0.08) = 0.052 or 5.2% b) If a pot is found to be defective, what is the probability that it was produced by Machine 2? Explain your answer. (0.30)(0.08) 0.052 = 0.4615 or 46.2%

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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5. Seventy percent of clay pots are produced by Machine 1 and 30% by Machine 2. Among all
pots produced by Machine 1, 4% are defective, and of those produced by Machine 2, 8% are
defective.
a) What percentage of the total produced are defective?
(0.70)(0.04) + (0.30)(0.08) = 0.052 or 5.2%
b) If a pot is found to be defective, what is the probability that it was produced by Machine 2?
Explain your answer.
(0.30)(0.08)
0.052
= 0.4615 or 46.2%
Transcribed Image Text:5. Seventy percent of clay pots are produced by Machine 1 and 30% by Machine 2. Among all pots produced by Machine 1, 4% are defective, and of those produced by Machine 2, 8% are defective. a) What percentage of the total produced are defective? (0.70)(0.04) + (0.30)(0.08) = 0.052 or 5.2% b) If a pot is found to be defective, what is the probability that it was produced by Machine 2? Explain your answer. (0.30)(0.08) 0.052 = 0.4615 or 46.2%
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