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7. DETAILS ASK YOUR TEACHER An appliance dealer sells three different models of upright freezers having 13.6, 16.1, and 19.2 cubic feet of storage space. Consider the random variable x = the amount of storage space purchased by the next customer to buy a freezer Suppose that x has the following probability distribution. (a) (b) x nor) 13.5 0.2 16.1 0.5 19.2 0.3 Calculate the mean and standard deviation ofx (in cubic feet). (Round your mean to 2 decimal places and your standard deviation to four decimal places.) 14X: ax= Give an interpretation of the mean and standard deviation ofx in the context of observing the outcomes of many purchases. cubic ft cubic 0 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. 0 The mean represents the long run average storage 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. 0 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. 0 The mean represents the long run average cost of freezers sold by this particular appliance dealer. The standard deviation represents a typical deviation in how much is spent on freezers purchased deviates from the mean. 0 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