A small airport coffee shop manager found that the probabilities a customer buys 0,1 , 2 ,

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A small airport coffee shop manager found that the probabilities a customer buys 0,1 , 2 , or 3 cups of coffee are \(0.3,0.5,0.15\), and 0.05 , respectively. If 8 customers enter the shop, find the probability that 2 will purchase something other than coffee, 4 will purchase 1 cup of coffee, 1 will purchase 2 cups, and 1 will purchase 3 cups.

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