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Assume that the average annual salary for a worker in the United States is $32,000 and that the annual salaries for Americans are normally distributed with a standard deviation equal to $7,000. Find the following:

(A) What percentage of Americans earn below $24,000?
(B) What percentage of Americans earn above $36,000?

Please show all of your work.
(Points : 6)

  • math -

    (A) 24,000 is 8/7 of one standard deviation below the mean.

    (B) 36,000 is 4/7 of one standard deviation above the mean.

    You need a "normal distribution" table or computational tool to compute the percentages below 24,000 and above 36,000.

    There is one such calcualtor tool at
    http://psych.colorado.edu/~mcclella/java/normal/accurateNormal.html

    For (A), I get 12.65%
    For (B), I get 28.4%

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