The SAT and ACT college entrance exams are taken by thousands of students each year. The scores on the exam are normally distributed. In recent years, the SAT mathematics scores have averaged around 480 with standard deviation of 100. The ACT mathematics scores have averaged around 18 with a variance of 36. a. An engineering school sets 550 as the minimum SAT math score for new students. What percent of students would score less than 550 in a typical year? b. What is the probability that a randomly selected student will score over 700 on the SAT math test?  c. If there are 5000 who took the exam, how many have scores between 600 and 750?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The SAT and ACT college entrance exams are taken by thousands of students
each year. The scores on the exam are normally distributed. In recent years, the
SAT mathematics scores have averaged around 480 with standard deviation of
100. The ACT mathematics scores have averaged around 18 with a variance of
36.

a. An engineering school sets 550 as the minimum SAT math score for new
students. What percent of students would score less than 550 in a typical
year?
b. What is the probability that a randomly selected student will score over 700
on the SAT math test? 
c. If there are 5000 who took the exam, how many have scores between 600
and 750? 

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