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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.

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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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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.
Transcribed Image Text: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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