3. Scores of a particular IQ test are normally distributed with a mean of μ = 100 and a standard deviation of a = 15. a. Draw a picture of this distribution. Shade the area that represents the probability that a student scores between 100 and 115. Use your calculator to determine the probability that a student scores between 100 and 115. b. In order to qualify for the Gifted Program, a student must score above 130. Calculate the probability that a student qualifies for the Gifted Program. c. Determine the 90th percentile for this distribution. That is, determine the score for which 90% of the data is less than that score.

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