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Suppose a college math scores are approximately normally distributed with mean μ=70 and standard deviation σ=10....

Suppose a college math scores are approximately normally distributed with mean μ=70 and standard deviation σ=10.

a. What score should a student aim to receive to be in the 95th percentile of the math scores?

b. You took a random sample of 25 students from this population. What is the probability that the average score in the sample will be equal to or greater than 75?

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