SOLUTION: The scores on a standardized college entrance examination are found to be normally distributed. The mean is 85 and the standard deviation is 11. What percent scored between 85 and

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Question 448467: The scores on a standardized college entrance examination are found to be normally distributed. The mean is 85 and the standard deviation is 11. What percent scored between 85 and 107?
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

The scores on a standardized college entrance examination are found to be normally distributed.

The mean is 85 and the standard deviation is 11

What percent scored between 85(Note: the mean) and 107?

 z = (107-85)/11 = 22/11 = highlight%282%29

 P(x < 207) = P(z< 2) =  NORMSDIST(2) = .9773

  .9773 - .5 = .4773   47.73% are between 85 and 107

Area under the graph from the y-axis to the blue line