Question

4. At the local Macy’s store, the typical shopper spends $75 with a standard deviation of...

4. At the local Macy’s store, the typical shopper spends $75 with a standard deviation of $20. Given that 100 shoppers visit Macy’s in a typical morning hour, and that each shopper shops independently,

a. What’s the probability that the total sales are less than $ 7450 for all 100 shoppers? Show your work.

b. What is the 89th percentile of total sales for all 100 shoppers combined?

c. Additionally, what is the probability that the average sales amount for 100 shoppers exceeds $ 85? Show your work.

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