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Use the Rule of Total Probability

question 175

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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

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Definitions:

Rights Offering

A financial opportunity offered by a corporation to its existing shareholders to purchase additional shares directly from the company at a discounted price.

Firm Commitment

A guarantee given by an underwriter to purchase all the unsold shares in an initial public offering or a secondary offering.

Financial Responsibility

The ability to manage one's financial resources wisely, including saving, investing, and spending in a manner that ensures long-term financial stability.

Syndicate Buys

Refers to a group of investors or underwriters pooling together to buy the entire or a large portion of a new securities issue for resale.

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