Shop Till You Drop magazine carried out a research and discovered that the average shopper spends an average of an hour with a standard deviation of 20 minutes in the Pasadena Mall. The lengths of time spent in the store are normally distributed and are represented by the variable x. If a shopper enters the store, find the probability that the shopper will be in the store for each interval of time listed below: a) Interpret your answer if 250 shoppers enter the store. How many shoppers would you expect to be in the store for each interval of time listed below? b (i) Between 30 and 45 minutes (ii) More than 40 minutes (iii) between 10 and 35 minutes.
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