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What is the probability that the sample mean score is less than 500?

Baby weights: According to a recent National Health Statistics Reports, the weight of male babies less than 2 months old in the United States is normally distributed with mean 11.5 pounds and standard deviation 2.7 pounds.

What proportion of babies weigh between 10 and 14 pounds?

Is it unusual for a baby to weigh more than 17 pounds?

SAT scores: The College Board reports that in a recent year, the mean mathematics SAT score was 514, and the standard deviation was 118. A sample of 65 scores is chosen.

What is the probability that the sample mean score is less than 500?