Question

SAT scores are normally distributed, with a mean of 500 and a standard deviation of 100....

SAT scores are normally distributed, with a mean of 500 and a standard deviation of 100. Xiomara took the SAT and scored 650.

8) Based on this information, Xiomara’s score was equal to or higher than what percentage of the other students?

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Answer #1

Solution :

Given that,

mean = = 500

standard deviation = =100

P(x >650 ) = 1 - P(x<650 )

= 1 - P[(x -) / < (650-500) / 100]

= 1 - P(z < 1.5)

Using z table

= 1 -  0.9332

=0.0668

answer=6.68%

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