**SAT Score Distribution Problem**The distribution of SAT scores is approximately normal with a mean ($\mu$) of 500 and a standard deviation ($\sigma$) of 100. For the population of students who have taken the SAT, consider the following questions:a. What proportion of students have SAT scores less than 400?b. What proportion of students have SAT scores greater than 650?c. What is the minimum SAT score needed to be in the highest 20% of the population?d. If the state college only accepts students from the top 40% of the SAT distribution, what is the minimum SAT score needed to be accepted?

Let X be the random variable representing the SAT score. Here, X~N( 500, 1002)…

17. The distribution of scores on the SAT is approxi- mately normal with a mean of u deviation of o = = 500 and a standard 100. For the population of students who have taken the SAT, a. What proportion have SAT scores less than 400? b. What proportion have SAT scores greater than 650? c. What is the minimum SAT score needed to be in the highest 20% of the population? d. If the state college only accepts students from the top 40% of the SAT distribution, what is the mini- mum SAT score needed to be accepted?

17. The distribution of scores on the SAT is approxi- mately normal with a mean of u deviation of o = = 500 and a standard 100. For the population of students who have taken the SAT, a. What proportion have SAT scores less than 400? b. What proportion have SAT scores greater than 650? c. What is the minimum SAT score needed to be in the highest 20% of the population? d. If the state college only accepts students from the top 40% of the SAT distribution, what is the mini- mum SAT score needed to be accepted?

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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