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An appliance dealer sells three different models of upright freezers having 13 6 16 0 and 19 3 cubic feet of storage space Consider the random variable x Amount of storage space purchased by the next customer to buy a freezer Suppose that x has the following probability distribution Hx ox X 13 6 16 0 19 3 P x 0 2 a Calculate the mean and standard deviation of x in cubic feet Hint See Example 6 15 Round your standard deviation to four decimal places X cubic ft X cubic ft 0 5 0 3 MY NOTES b Give an interpretation of the mean and standard deviation of x in the context of observing the outcomes of many purchases The mean represents the long run average number of freezers sold by this particular appliance dealer The standard deviation represents a typical deviation in how many freezers purchased deviates from the mean The mean represents the long run average distribution of freezers sold by this particular appliance dealer The standard deviation represents a typical deviation in how much the distribution in freezers purchased deviates from the mean The mean represents the long run average type of freezer sold by this particular appliance dealer The standard deviation represents a typical deviation in what type of freezer purchased deviates from the mean The mean represents the long run average cost of freezers sold by this particular appliance dealer The standard deviation r presents a typical deviation in how much is spent on freezers purchased deviates from the mean The mean represents the long run average storage space of freezers sold by this particular appliance dealer The standard deviation represents a typical deviation in how much the storage space in freezers purchased deviates from the mean X

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