Our company has two production facililties: one in Georgia and one in Ohio. The

Question

Our company has two production facililties: one in Georgia and one in Ohio. The Georgia plant produces 40% of our total output, and the Ohio plant produces the remaining 60%. Some of our products have proven to be defective. Of the items produced in Georgia, 5% are defective; at our Ohio plant the defect rate is 4%. Suppose an item produced by our company is selected at random (there is a 40% chance it came from Georgia, for example). What is the probability that it will be defective? Give your answer as a decimal fraction to at least three places

Explanation / Answer

Probability that it will be defective, P(defective) = P(item is from georgia and is defective) + P(item is from Ohio and is defective)

= 0.4x0.05 + 0.6x0.04 = 0.044

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.