Sociology (Stats) Std. Dev

Given (μ) = 500, and σ = 100. What percentage of the SAT scores falls:

A) Between 500 and 600? The percentage falls 1 σ above the (μ), 68.26% / 2 = 34.13%
B) Between 400 and 600? The percentage falls 1 σ below and 1 σ above the (μ)

C) Between 500 and 700? The percentage falls 2 σ above the (μ), 95.44% /2 = 47.72%

D) Between 300 and 700? The percentage falls 2 σ below and 2 above the (μ), 95.44%

E) Above 600? 15.87%

F) Below 300? 2.28%

I got the percentage for E and F but I am not sure how to figure out how to solve for them

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  1. 600 is 1 std above the mean.
    300 is 3 std below the mean.
    Just look up the tails in your table. Or, play around some at

    http://davidmlane.com/hyperstat/z_table.html

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