) Find the z-score for an IQ of 119, rounded to three decimal places. ) Find the probability that the person has an IQ greater than 119. ) Shade the area corresponding to this probability in the graph below. core. Use your z-score from part (a), rounded to one decimal place).

) Find the z-score for an IQ of 119, rounded to three decimal places. ) Find the probability that the person has an IQ greater than 119. ) Shade the area corresponding to this probability in the graph below. core. Use your z-score from part (a), rounded to one decimal place).

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one
individual is randomly chosen. Let X = IQ of an individual.
(a) Find the z-score for an IQ of 119, rounded to three decimal places.
(b) Find the probability that the person has an IQ greater than 119.
(c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z-
score. Use your z-score from part (a), rounded to one decimal place).
Shade: Left of a value
. Click and drag the arrows to adjust the values.
-4
-2
-1
2
3
4
-1.5
(d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ
needed to qualify for the MENSA organization.

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