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The Scholastic Aptitude Test (SAT) is designed so test scores are normally distributed. The mean SAT score for the population of all test-takers last year was 1050 with a population standard deviation (o,) of 195. Let X = SAT score. (This question is worth 8 points. Answer all parts of the question). (a) What percentage of test-takers would score 1420 or higher on the SAT?! (b) What percentage of test-takers would score 800 or lower on the SAT? | (c) If students who score between 1500 and 1600 on the SAT receive a special certificate, what percentage of students will be in this category? (d) A scholarship program is available to students who score above 1550 on the test. If 200,000 students took the SAT this year, how many students will be eligible for the honors program?

The Scholastic Aptitude Test (SAT) is designed so test scores are normally distributed. The mean SAT score for the population of all test-takers last year was 1050 with a population standard deviation (o,) of 195. Let X = SAT score. (This question is worth 8 points. Answer all parts of the question). (a) What percentage of test-takers would score 1420 or higher on the SAT?! (b) What percentage of test-takers would score 800 or lower on the SAT? | (c) If students who score between 1500 and 1600 on the SAT receive a special certificate, what percentage of students will be in this category? (d) A scholarship program is available to students who score above 1550 on the test. If 200,000 students took the SAT this year, how many students will be eligible for the honors program?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The Scholastic Aptitude Test (SAT) is designed so test scores are normally distributed. The mean SAT score for the population of all test-takers last year was 1050 with a population standard deviation (ox) of 195. Let X = SAT score. (This question is worth 8 points. Answer all parts of the question). (a) What percentage of test-takers would score 1420 or higher on the SAT? | (b) What percentage of test-takers would score 800 or lower on the SAT? | (c) If students who score between 1500 and 1600 on the SAT receive a special certificate, what percentage of students will be in this category? (d) A scholarship program is available to students who score above 1550 on the test. If 200,000 students took the SAT this year, how many students will be eligible for the honors program?
Transcribed Image Text:The Scholastic Aptitude Test (SAT) is designed so test scores are normally distributed. The mean SAT score for the population of all test-takers last year was 1050 with a population standard deviation (ox) of 195. Let X = SAT score. (This question is worth 8 points. Answer all parts of the question). (a) What percentage of test-takers would score 1420 or higher on the SAT? | (b) What percentage of test-takers would score 800 or lower on the SAT? | (c) If students who score between 1500 and 1600 on the SAT receive a special certificate, what percentage of students will be in this category? (d) A scholarship program is available to students who score above 1550 on the test. If 200,000 students took the SAT this year, how many students will be eligible for the honors program?
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