Question 5 of 8 Teachers' Salaries in Connecticut The average teacher's salary in Connecticut (ranked first among states) is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Round intermediate z value calculations to two decimal places and the final answers to at least four decimal places. lock (a) What is the probability that a randomly selected teacher makes less than $54,800 per year? (b) If we sample 85 teachers' salaries, what is the probability that the sample mean is less than $56,500? Assume that the sample is taken from a large population and the correction factor can be ignored. Part 1 of 2 control (a) What is the probability that a randomly selected teacher makes less than $54,800 per year? P(X