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Bed and Beyond recently launched a new pillow called DopeSleep, which is claimed to cure insomnia. The store plans to offer 500 free pillows to

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Bed and Beyond recently launched a new pillow called DopeSleep, which is claimed to cure insomnia. The store plans to offer 500 free pillows to 500 existing Bed and Beyond customers, hoping that some of them will later purchase a full set of four pillows. The store loses $10 for each pillow it gives away and makes $60 in profit for each full set sold. Based on the store manager's experience with similar product launches, she expects that 15% to 25% of people who receive free pillows will purchase a full set. In other words, the percentage of people who later make a purchase should be modeled as a uniform random variable, with a minimum of 15% and a maximum of 25%. Set up and run your simulation 1000 times. Based on your simulation results, find and report the approximate probability that Bed and Beyond will lose money from this plan. Would you advise the store manager to go ahead and offer free samples? Why or why not

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