NOTE: USE NORMAL CDF TABLE In 2017, SAT Math scores were Normally distributed with mean of 520 and standard deviation of

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answerhappygod
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NOTE: USE NORMAL CDF TABLE In 2017, SAT Math scores were Normally distributed with mean of 520 and standard deviation of

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NOTE: USE NORMAL CDF TABLEIn 2017, SAT Math scores were Normally distributed with mean of 520and standard deviation of 93. For admission to MassachusettsInstitute of Technology (MIT), one criterion is an extremely highSAT Math score of at least 760.
a) A student admitted to MIT in 2017 had a SAT Math Scoreof 772. Among all students who took the SAT, what is theprobability of having a Math Score greaterthan 772?P(X > 772) = ____ (use 5 decimal places)b) Among all students who took the SAT, what is the probability ofhaving a Math Score less than 784?P(X < 784) = ____ (use 5 decimal places)c) Among all students who took the SAT, what is the probability ofhaving a MathScore between 773 and 781?P(773 < X < 781) = ____ (use 5 decimal places)
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