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Category: Calculus and Above

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A fruit seller regularly buys mangoes from a particular wholesaler.

Customer Question

A fruit seller regularly buys mangoes from a particular wholesaler. She uses the following quality control process: she randomly selects three mangoes from a box of 18 mangoes and will reject the shipment if any of the mangoes she selects is damaged. a) How many different groups of three mangoes could the fruit seller select from a box of 18? b) If there are two damaged mangoes somewhere in the box, what is the probability that the fruit seller finds exactly one damaged mango in her sample of three? [Provide an answer accurate to four decimal places] c) If there are two damaged mangoes somewhere in the box, what is the probability that the fruit seller rejects the shipment based on her quality control process? [Provide an answer accurate to four decimal places] d) True or false: The Hypergeometric distribution an appropriate distribution to use in b) and c). Justify your answer by describing two features of the Hypergeometric distribution which fit/don’t fit the features of this question setting.