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Probierm Problem 2 Salaries for new assistant professors at State College are normally distributed with a mean of $80000 and a standard deviation of $5000. We randomly survey 10 teachers from that district, let X be the salary of a randomly selected teacher at State, and let X be the average salary of 10 randomly selected teachers a. (3%) X ~ | (pick one) v (3%) Find the probability that an in ividual teacher earns more than S65000. Px>65000)- d (3%) Find the probability that the average salary for the sample is more than $65000. P(x 65000) (3%) Find the 90th percentile for the average teachers salary for samples of 10 teachers. e. f P(X a)0.0 then a 855 P
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