Question: A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100. a) The

A mandatory competency test for high school sophomores has a normal distribution with a mean of 400 and a standard deviation of 100.

a) The top 3% of students receive $500. What is the minimum score you would need to receive this award?

b) The bottom 1.5% of students must go to summer school. What is the minimum score you would need to stay out of this group?

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