A bank has kept records of the checking balances of its customers and determined that the average daily balance of its customers is $300 with a standard deviation of $48. A random sample of 144 checking accounts is selected. What is the probability that the sample mean will be more than $309.3? What is the probability that the sample mean will be less than $311? What is the probability that the sample will be between $303 and 311? What is the probability that the sample mean will be at least $293?

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