Use the Rule of Total Probability

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