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In: Statistics and Probability

A bank has kept records of the checking balances of its customers and determined that the...

A bank has kept records of the checking balances of its customers and determined that the population average daily balance of its customers is $300 with a population standard deviation of $48. A random sample of 144 checking accounts is selected.

a.

What is the probability that the sample mean will be more than $306.60?

b.

What is the probability that the sample mean will be less than $310?

c.

What is the probability that the sample mean will be between $302 and $308?

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