) 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
icon
Related questions
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.
Transcribed Image Text: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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Area
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman