You are in charge of quality control for a company that manufactures a famous luxury brand of handbags. There are three different defects that you must be on the lookout for. A defect in any of these areas means the handbag cannot be sold and must be either recycled or destroyed. • Defects in stitching: 11% of items • Defects in coloring: 8% of items • Defects in materials: 4% of items Because the areas (stitching, coloring/dying, materials) are done by different suppliers or in different areas of the manufacturing plant, you may assume that the types of defects are independent of each other. 1. If there is a defect in all of the areas, the
You are in charge of quality control for a company that manufactures a famous luxury brand of
handbags. There are three different defects that you must be on the lookout for. A defect in any of
these areas means the handbag cannot be sold and must be either recycled or destroyed.
• Defects in stitching: 11% of items
• Defects in coloring: 8% of items
• Defects in materials: 4% of items
Because the areas (stitching, coloring/dying, materials) are done by different suppliers or in different
areas of the manufacturing plant, you may assume that the types of defects are independent of each
other.
1. If there is a defect in all of the areas, the product must be destroyed. What percentage of bags
will need to be destroyed?
2. A defect in coloring or materials means the product cannot be recycled and must therefore be
destroyed. For what percentage of bags will this be the case?
3. What is the probability that a defect will be found of any of the three types?
There are three different defects that you must be on the lookout for. A defect in any of
these areas means the handbag cannot be sold and must be either recycled or destroyed.
• Defects in stitching: 11% of items
• Defects in coloring: 8% of items
• Defects in materials: 4% of items
i.e.,
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