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A college's data about incoming freshmen indicates that the mean of their high school GPA was 3.4, with a standard deviation of 0.35. Let X=the GPA of an incoming freshman. The students are randomly assigned to writing groups of size 49.

a) Find P( xbar ≥ 3.5)

b) For P(xbar ≤ k)=0.80 find k, ie find the 80th Percentile.

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