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a. If a graduate is chosen at random, what is the probability that his IQ is more than 115? b. If a graduate is chosen at random, what is the probability that his IQ is between 125 and 130? c. What should be the IQ of the person to be included in the top 5%?

a. If a graduate is chosen at random, what is the probability that his IQ is more than 115? b. If a graduate is chosen at random, what is the probability that his IQ is between 125 and 130? c. What should be the IQ of the person to be included in the top 5%?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A construction manager claims to have just hired someone with an IQ that belongs to the top 5% of all recent engineering school graduates. The relevant distribution of IQ's is known to be normal, with a mean of 120 points and a standard deviation of 10 points. a. If a graduate is chosen at random, what is the probability that his IQ is more than 115? b. If a graduate is chosen at random, what is the probability that his IQ is between 125 and 130? c. What should be the IQ of the person to be included in the top 5%?
Transcribed Image Text:A construction manager claims to have just hired someone with an IQ that belongs to the top 5% of all recent engineering school graduates. The relevant distribution of IQ's is known to be normal, with a mean of 120 points and a standard deviation of 10 points. a. If a graduate is chosen at random, what is the probability that his IQ is more than 115? b. If a graduate is chosen at random, what is the probability that his IQ is between 125 and 130? c. What should be the IQ of the person to be included in the top 5%?
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