Salaries for teachers in a particular elementary school district are normally distributed with a mean of $42,000 and a standard deviation of $6,100. We randomly survey ten teachers from that district. Part (a) Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) 6,100 X-N✔ 42,000 Part (c) Part (d) Part (e) Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) 0.8501 Part (1) Find the 90th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) $56817 x Part (g) Find the 90th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.) $ 51472 x Part (h) Part (1) Submit APSUUSS ing

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