Answered: After an exhaustive university-wide…

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

After an exhaustive university-wide student survey, it was found that the IQ scores of Brac University students follow a normal distribution with mean 94 points and standard deviation 18 points.

a. What is the probability that a randomly selected student will have an IQ score greater than 85?

b. What is the probability that a randomly selected student will have an IQ score between 72 and 128?

c. Faisal claims that his IQ score is better than 57.88% of all BracU students. What is the minimum IQ score Faisal should have for his claim to be valid??

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.

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