Answered: Assuming that student incomes from…

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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Assuming that student incomes from employment in industry during the day are normally distributed with a mean income of

$30,000 and a standard deviation of $3,000.

a) What is the probability that a randomly selected student earns more than $30,000?

b) What’s the probability that a randomly selected student earns between $27,000 and $33,000?

c) What’s the probability that the average income of a sample of 30 students is less than $28000?

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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