The SAT is an assessment designed to evaluate a student's college-specific skills. SAT scores tend to follow an approximate normal distribution with mean of 10601060 and a standard deviation of 195195.¹

Go to the DCMP Normal Distribution tool at https://dcmathpathways.shinyapps.io/NormalDist/.

• Select the Find Probability tab.
• Enter 10601060 for the mean,..
• Enter 195195 for the standard deviation, ..

The normal distribution displayed now represents a model for the distribution of the SAT scores for all students who take the exam.

¹Institute of Education Sciences, National Center for Education Statistics. (2019). Digest of education statistics 2019 tables and figures: Table 226.40. https://nces.ed.gov/programs/digest/d19/tables/dt19_226.40.asp

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Use the tool to find the following probabilities.

Part A: What is the probability that a randomly selected student scores higher than a 12001200 on the SAT? Round to four decimal places.

Part B: What proportion of students scores between 865865 and 12551255 on the SAT? Round to four decimal places.

Hint