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In: Statistics and Probability

Salaries for teachers in a particular elementary school district are normally distributed with a mean of...

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,100. We randomly survey ten teachers from that district.

A. Give the distribution of ΣX. (Round your answers to two decimal places.)

ΣX - N ( , )

B. Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.)

C. Find the 80th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.)

D. Find the 80th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.)

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