Answered: IQ is normally distributed with a mean…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

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 = X = IQ of an individual. (a) Find the z-score for an IQ of 123, rounded to three decimal places. 1.533 (b) Find the probability that the person has an IQ greater than 123. 0.0630 (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 valueRight of a valueBetween two values2 regions. Click and drag the arrows to adjust the values.

3:33
l LTE
Aohm.lumenlearning.com
(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.
69.25
(e) Sketch the graph, and write the probability
statement.
Edit
Insert -
Formats -
I
U
A -
=、三星深四
(f) The middle 50% of IQs fall between what two
values?
(g) Sketch the graph and write the probability
statement.
Insert -
Formats
I
U A
Edit
三、星深四

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.

Expert Solution

Step 1

Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are solving the first 3 parts for you, according to our policy. If you need help with any of the other parts, please re-post the question and mention the part you want to be answered.