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Assume that the customers patronizing the newly opened Nordstroms are binomally distributed by wealth (rich = income greater than $250,000/year, poor = the rest of us) and typically 28% are rich. If 100 people visit the Nordstroms on a typical weekend shoppping day during the noon hour and assuming independence then determine the following probabilities

a. that exactly 30 will be rich
b. that fewer than 30 will be rich
c. that more than 30 will be rich