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For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 550 with a standard deviation

For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 550 with a standard deviation of 100. SAT scores are normally distributed.

What is the probability that a randomly selected high school senior's score on the mathematics part of the SAT will be more than 680?Answer

What is the probability that a randomly selected high school senior's score on the mathematics part of the SAT will be less than 405?Answer

What is the probability that a randomly selected high school senior's score on the mathematics part of the SAT will be between 405 and 680?Answer

Suppose that an engineering school program will accept only high school seniors with mathematics SAT in the bottom 15%. What is the cutoff SAT score in mathematics for this program?Answer

Suppose that an engineering school program will accept only high school seniors with mathematics SAT in the top 25%. What is the cutoff SAT score in mathematics for this program?Answer

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