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A furniture manufacturer sells three types of products: chairs, tables, and beds

ID: 3057834 • Letter: A

Question

A furniture manufacturer sells three types of products: chairs, tables, and beds. Chairs constitute 35% of the company's sales, tables constitute 55% of the sales, and beds constitute the rest. Of the company's chairs, 5% are defective and have to be returned to the shop for minor repairs, whereas the percentage of such defective items for tables and beds are 12% and 8% respectively. A quality control manager just inspected an item and the item was not defective. What is the probability that this item was a table? Round your result to 2 significant places after the decimal (For example, 0.86732 should be entered as 0.87).

Explanation / Answer

A furniture manufacturer sells three types of products: chairs, tables, and beds. Chairs constitute 35% of the company's sales, tables constitute 55% of the sales, and beds constitute the rest. Of the company's chairs, 5% are defective and have to be returned to the shop for minor repairs, whereas the percentage of such defective items for tables and beds are 12% and 8% respectively. A quality control manager just inspected an item and the item was not defective. What is the probability that this item was a table? Round your result to 2 significant places after the decimal (For example, 0.86732 should be entered as 0.87).

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