1a) Assume we're working with normally distributed SAT scores, with the following distribution: Mean = 500...

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1a) Assume we're working with normally distributed SAT scores,with the following distribution: Mean = 500 and Std. Dev = 100. Astudent is randomly selected from the SAT population. What's theprobability of that student's score being between 350 and 600?

1b) Assume we're working with normally distributed SAT scores,with the following distribution: Mean = 500 and Std. Dev = 100. Acollege decides to admit students with SAT scores greater than orequal to 450. Assuming the applicant population contains 1500students, how many would be admitted?

1c) Assume we're working with normally distributed SAT scores,with the following distribution: Mean = 500 and Std. Dev = 100. Acollege decides to admit only the top 10% of SAT students. Whatwould its cutoff SAT score be?

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