A study shows that the intelligence quotient (IQ) of adults in a country follows a normal distribution. The mean of the same population is 90 and its standard deviation is 4.5.If an adult is randomly chosen from the said country, what is the probability that its IQ is greater than 100?If an adult is randomly chosen from the said country, what is the probability that its IQ is less than 95?If an adult is randomly chosen from the said country, what is the probability that its IQ is between 88 and 92?NOTE: Your answer must in FOUR DECIMAL places.

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Answered: A study shows that the intelligence…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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A study shows that the intelligence quotient (IQ) of adults in a country follows a normal distribution. The mean of the same population is 90 and its standard deviation is 4.5.

If an adult is randomly chosen from the said country, what is the probability that its IQ is greater than 100?
If an adult is randomly chosen from the said country, what is the probability that its IQ is less than 95?
If an adult is randomly chosen from the said country, what is the probability that its IQ is between 88 and 92?

NOTE: Your answer must in FOUR DECIMAL places.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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