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Name: 10 points A certain construction company buys 20%, 30%, and 50% of their nails from hardware suppliers A, B, and C respectively. Suppose it is known that 0.05%, 0.02%, and 0.01% of the nails from A, B, and C, respectively are defective. (a) What is the probability of selecting a defective nail and it is from vendor B? oints) points) (b) What is the probability of selecting defective nail?
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Answer #1

a) P(defective and vendor B) = 0.30 x 0.0002

= 0.00006

b) P(defective nail) = P(defective and vendor A) + P(defective and vendor B) + P(defective and vendor C)

= 0.2x0.0005 + 0.3x0.0002 + 0.5x0.0001

= 0.00021

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