Answered: In a recent year, the total scores for…

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

In a recent year, the total scores for a certain standardized test were normally distributed, with a mean of 500 and a standard deviation of 10.5. Answer parts (a)–(d) below.

(a) Find the probability that a randomly selected medical student who took the test had a total score that was less than 490.

The probability that a randomly selected medical student who took the test had a total score that was less than 490 is 0.17100.1710

(b) Find the probability that a randomly selected medical student who took the test had a total score that was between 499 and

514.

The probability that a randomly selected medical student who took the test had a total score that was between 499 and 514 is

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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