Question on probability calculation using z score

Reference no: EM13106461

The Webster National Bank is reviewing its service charge and interest-paying policies on checking accounts. The bank has found that the average daily balance on personal checking accounts is $550, with a standard deviation of $150. In addition, the average daily balances have been found to be normally distributed (Gaussian).

a) What percentage of personal checking account customers carry average daily balances in excess of $800?

b) What percentage of the banks customers carries average daily balances below of $200?

c) What percentage of the banks customers carries average daily balances between $300 and $700?

d) The bank is considering paying interest to customers carrying average daily balances in excess of a certain amount. If the bank does not want to pay interest to more than 5% of its customers, what is the minimum average daily balance it should be willing to pay interest on?

Reference no: EM13106461

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