Use the Rule of Total Probability

question 175

Multiple Choice

Use the Rule of Total Probability
-A company manufactures shoes in three different factories. Factory Omaha Produces 25% of the company s shoes, Factory Chicago produces 60%, and factory Seattle produces 15%. One percent of the shoes produced in Omaha are mislabeled, 0.5 % of the Chicago shoes are mislabeled, and 2% of the Seattle shoes are mislabeled. If you purchase one pair of shoes manufactured by this company what is the probability that the shoes are mislabeled

• A) 0.009
• B) 0.036
• C) 0.043
• D) 0.020

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