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Scores on a certain IQ test are approximately normally distributed with a mean of 100 and a standard deviation of 20 for a certain population of school children. For purposes of this exercise, treat this distribution as continuous. Find the proportion of the population having a score (a) less than 130, (b) between 110 and 130, (c) between 80 and 110,

Scores on a certain IQ test are approximately normally distributed with a mean of 100 and a standard deviation of 20 for a certain population of school children. For purposes of this exercise, treat this distribution as continuous. Find the proportion of the population having a score (a) less than 130, (b) between 110 and 130, (c) between 80 and 110,

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Scores on a certain IQ test are approximately normally distributed with a mean of 100 and a
standard deviation of 20 for a certain population of school children. For purposes of this
exercise, treat this distribution as continuous. Find the proportion of the population having a
score
(a) less than 130,
(b) between 110 and 130,
(c) between 80 and 110,
(d) less than 61 or greater than 139,
(e) greater than 133.
(f) Find the score which is the 90th percentile of this IQ distribution, that is, the score that
has 90% of the population below it.

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As per our guidelines we are suppose to answer only three subparts kindlypost the remaining subparts in next post

GivenMean(μ)=100standard deviation(σ)=20

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