Solved: What percentage of overbilled customers are charged at, Basic Statistics

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What percentage of overbilled customers are charged at

Question: Continuing the previous problem, suppose that when Sleaze overcharges a customer, the distribution of the amount overcharged (expressed as a percentage of the correct billing amount) is normally distributed with mean 15% and standard deviation 4%.

a. What percentage of overbilled customers are charged at least 10% more than they should pay?

b. What percentage of all customers are charged at least 10% more than they should pay?

c. If your auditing company samples 200 randomly chosen invoices, what is the probability that it will find at least five where the customer was overcharged by at least 10%?

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