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Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. O Part (a) In words, define the random variable X. O the salary of an elementary school teacher in the district O the number of teachers in the district the number of teachers in an elementary school in the district O the number of elementary schools in the district O Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X- NO O Part (c) In words, define the random variable EX. O the sum of all teachers in ten elementary schools in the district the sum of salaries of ten elementary school administrators in the district O the sum of salaries of ten teachers in elementary schools in the district O the sum of all districts with ten elementary schools O Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX- NO O Part (e) Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) O Part (f) Find the 90h percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) O Part (g) Find the 90th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.) O Part (h) If we surveyed 70 teachers instead of ten, graphically, how would that change the distribution in part (d)? O The distribution would shift to the right. The distribution would become an exponential curve. The distribution would shift to the left. O The distribution would not change. O The distribution would be a more symmetrical normal curve. O Part () If each of the 70 teachers received a $3000 raise, graphically, how would that change the distribution in part (b)? O The distribution would shift to the right. The distribution would take a wider shape. O The distribution would shift to the left. . The distribution would take a more narrow shape. O The distribution would not change.

Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. O Part (a) In words, define the random variable X. O the salary of an elementary school teacher in the district O the number of teachers in the district the number of teachers in an elementary school in the district O the number of elementary schools in the district O Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X- NO O Part (c) In words, define the random variable EX. O the sum of all teachers in ten elementary schools in the district the sum of salaries of ten elementary school administrators in the district O the sum of salaries of ten teachers in elementary schools in the district O the sum of all districts with ten elementary schools O Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX- NO O Part (e) Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) O Part (f) Find the 90h percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) O Part (g) Find the 90th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.) O Part (h) If we surveyed 70 teachers instead of ten, graphically, how would that change the distribution in part (d)? O The distribution would shift to the right. The distribution would become an exponential curve. The distribution would shift to the left. O The distribution would not change. O The distribution would be a more symmetrical normal curve. O Part () If each of the 70 teachers received a $3000 raise, graphically, how would that change the distribution in part (b)? O The distribution would shift to the right. The distribution would take a wider shape. O The distribution would shift to the left. . The distribution would take a more narrow shape. O The distribution would not change.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. O Part (a) In words, define the random variable X. the salary of an elementary school teacher in the district O the number of teachers in the district the number of teachers in an elementary school in the district O the number of elementary schools in the district O Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X- N O O Part (c) In words, define the random variable EX. the sum of all teachers in ten elementary schools in the district O the sum of salaries of ten elementary school administrators in the district the sum of salaries of ten teachers in elementary schools in the district O the sum of all districts with ten elementary schools O Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX - NO O Part (e) Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) O Part (f) Find the 90th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) $ O Part (g) Find the 90th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.) O Part (h) If we surveyed 70 teachers instead of ten, graphically, how would that change the distribution in part (d)? O The distribution would shift to the right. The distribution would become an exponential curve. O The distribution would shift to the left. The distribution would not change. O The distribution would be a more symmetrical normal curve. O Part (i) If each of the 70 teachers received a $3000 raise, graphically, how would that change the distribution in part (b)? The distribution would shift to the right. O The distribution would take a wider shape. O The distribution would shift to the left. O The distribution would take a more narrow shape. O The distribution would not change.
Transcribed Image Text:Salaries for teachers in a particular elementary school district are normally distributed with a mean of $41,000 and a standard deviation of $6,200. We randomly survey ten teachers from that district. O Part (a) In words, define the random variable X. the salary of an elementary school teacher in the district O the number of teachers in the district the number of teachers in an elementary school in the district O the number of elementary schools in the district O Part (b) Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) X- N O O Part (c) In words, define the random variable EX. the sum of all teachers in ten elementary schools in the district O the sum of salaries of ten elementary school administrators in the district the sum of salaries of ten teachers in elementary schools in the district O the sum of all districts with ten elementary schools O Part (d) Give the distribution of EX. (Round your answers to two decimal places.) EX - NO O Part (e) Find the probability that the teachers earn a total of over $400,000. (Round your answer to four decimal places.) O Part (f) Find the 90th percentile for an individual teacher's salary. (Round your answer to the nearest whole number.) $ O Part (g) Find the 90th percentile for the sum of ten teachers' salary. (Round your answer to the nearest whole number.) O Part (h) If we surveyed 70 teachers instead of ten, graphically, how would that change the distribution in part (d)? O The distribution would shift to the right. The distribution would become an exponential curve. O The distribution would shift to the left. The distribution would not change. O The distribution would be a more symmetrical normal curve. O Part (i) If each of the 70 teachers received a $3000 raise, graphically, how would that change the distribution in part (b)? The distribution would shift to the right. O The distribution would take a wider shape. O The distribution would shift to the left. O The distribution would take a more narrow shape. O The distribution would not change.
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