Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX-N✔ 430000 409600000 X Part (e) Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) 1.4823 Part (f) Find the 90th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) $

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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Salaries for teachers in a particular elementary school district are normally distributed with a mean of $43,000 and a standard deviation of $6,400. We
randomly survey ten teachers from that district.
Part (a)
Part (b)
Part (c)
Part (d)
Give the distribution of EX. (Round your answers to two decimal places.)
EX-N✔
430000
409600000
Part (e)
Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.)
1.4823
x
Part (f)
Find the 90th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.)
$
Part (g)
Find the 90th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.)
Transcribed Image Text:Salaries for teachers in a particular elementary school district are normally distributed with a mean of $43,000 and a standard deviation of $6,400. We randomly survey ten teachers from that district. Part (a) Part (b) Part (c) Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX-N✔ 430000 409600000 Part (e) Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) 1.4823 x Part (f) Find the 90th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) $ Part (g) Find the 90th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.)
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