The average teachers' salary in a certain state is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/T1-84 Plus calculator and round the answer to at least four decimal places. Part 1 of 2 (a) What is the probability that a randomly selected teacher makes less than $53,000 per year? P(X<53,000)-0.28096 Part: 1/2 Part 2 of 2 (b) If we sample 60 teachers' salaries, what is the probability that the sample mean is less than $55,600? P(X<55,600)-

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