The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.59 inches and a standard deviation of 0.03 inch. A random sample of 11 tennis balls is selected.  1. What is the probability that the sample mean is between 2.57 and 2.61 ​inches? 2. The probability is 63​% that the sample mean will be between what two values symmetrically distributed around the population​ mean? 3. What is the probability that the sample mean is less than 2.56 ​inches?

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