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5.19 Supplemental Exploration B: Revisiting theory-based approximations of sampling distributions Random ice cream prices (cont.) Recall from a previous example that an ice cream shop

5.19 Supplemental Exploration B: Revisiting theory-based approximations of sampling distributions Random ice cream prices (cont.) Recall from a previous example that an ice cream shop owner is running a special promotion in which the price of a small ice cream cone is determined by rolling a pair of fair, six-sided dice. The price (in cents) is the larger number followed by the smaller number. Clearly, the owner would not be able to predict the price for an individual customer very accurately. But could the owner predict the average price across a larger number of customers fairly accurately? Let the random variable X represent this price. We determined that the probability distribution of is as shown in the figure below Figure 5.19.1: Graph of probability distribution of X, the price of an ice cream cone as determined by rolling two fair six-sided dice, where the price in cents is the larger number followed by the smaller

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