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(e) What is the distribution of X? () What is the probability that the total scores of 100 students is more than 51500? (g) What is the 65h percentile for the mean scores of 100 students?

(e) What is the distribution of X? () What is the probability that the total scores of 100 students is more than 51500? (g) What is the 65h percentile for the mean scores of 100 students?

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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can you solve parts e), f), and g), thank you and can you include the curves shaded where needed to be. thanks!

The distribution of scores of students heading to college in the math section of the SAT follows a normal distribution with mean u = 520 and standard deviationo = 115. X = The score of a student heading to college in the math section of the SAT X = The mean score of 100 students heading to college in the math section of the SAT EX = The total score of 100 students heading to college in the math section of the SAT (Please show all formulas, calculations and the curves) (a) What math SAT score is 2 standard deviations below the mean? (b) What is the probability that the score of a student is less than 480? (c) What is the distribution of X? (d) What is the probability that the mean scores of 100 students is between 518 and 530? (e) What is the distribution of EX? (1) What is the probability that the total scores of 100 students is more than 51500? (g) What is the 65th percentile for the mean scores of 100 students?
Transcribed Image Text:The distribution of scores of students heading to college in the math section of the SAT follows a normal distribution with mean u = 520 and standard deviationo = 115. X = The score of a student heading to college in the math section of the SAT X = The mean score of 100 students heading to college in the math section of the SAT EX = The total score of 100 students heading to college in the math section of the SAT (Please show all formulas, calculations and the curves) (a) What math SAT score is 2 standard deviations below the mean? (b) What is the probability that the score of a student is less than 480? (c) What is the distribution of X? (d) What is the probability that the mean scores of 100 students is between 518 and 530? (e) What is the distribution of EX? (1) What is the probability that the total scores of 100 students is more than 51500? (g) What is the 65th percentile for the mean scores of 100 students?
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