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A large department store has on average 448 shoppers in an hour, with a standard deviation of 21 shoppers. (i) What is the probability that

A large department store has on average 448 shoppers in an hour, with a standard deviation of 21 shoppers.

(i) What is the probability that a random sample of 49 different shopping hours has a sample mean between 441 and 446?

(ii) What is the probability that the store is packed with 500 or more shoppers in an hour?

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