Answered: Assume that IQ scores are normally…

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

Assume that IQ scores are normally distributed with a mean 98.3 pts and a standard deviation of 10.2 pts. Let X be the IQ score of a randomly selected person.

1. Describe the probability distribution of X and state its parameters μμ and σσ:

~ Correct (μ=, σ=)

2. Find the probability that the IQ score of a randomly selected person is

less than 110.9 pts. (Round the answer to 4 decimal places)
between 87.8 and 122.5 pts. (Round the answer to 4 decimal places)
more than 111.8 pts. (Round the answer to 4 decimal places)

3. Find the 90-th percentile for the IQ score. pts (Round the answer to 1 decimal place)

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