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A bank has determined that the monthly balances of the saving accounts of its customers are normally distributed with an average balance of $1,200 and

A bank has determined that the monthly balances of the saving accounts of its customers are normally distributed with an average balance of $1,200 and standard deviation of 250. If a sample of 36 customers is selected.

a. What is the probability that the average monthly balances are more $1,100?

b. What is the probability that the average monthly balances are between $1,255 and $1,275?

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