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Prior data indicates if a planter machine is operating "properly," the length of the planter produced by the machine can be modeled as being normally distributed with a mean of 107 centimeters and a standard deviation of 5.2 centimeters. If 20 planters produced by the machine are randomly selected. What is the probability that the average length of the 20 planters will be between 106 and 110 centimeters when the machine is properly operating?

Please include the formula/steps taken to reach the answer.

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