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In psychology, there is a particular Mental Development Index (MDI) used in the study of infants....

In psychology, there is a particular Mental Development Index (MDI) used in the study of infants. The scores on the MDI have approximately a normal distribution with a mean of 100 and standard deviation of 16. We are going to randomly select 64 children and average their MDI scores. What is the probability that the average is under 97?

Give your answer to 4 decimal places.

* Please give me the answer and a step by step breakdown as to how you got the answer **

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