Question

SAT scores are normally distributed with a mean of 1700 and a variance of 21500. What...

SAT scores are normally distributed with a mean of 1700 and a variance of 21500. What fraction of students score between 1350 and 2050 (rounded to 3 decimals)?

a)0.983

b)0.619   

c)0.832

d)0.945

0.013

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that ,

mean = = 1700

2=21500

standard deviation = = 146.63

P(1350< x < 2050) = P[(1350-1700) /146.63 < (x - ) / < (2050-1700) /146.63 )]

= P(-2.39 < Z <2.39 )

= P(Z <2.39 ) - P(Z <-2.39 )

Using z table   

= 0.9916-0.0084

= 0.893

CORRECT OPTION a)0.983

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