Assume that SAT scores are normally distributed with a mean of 2 and a standard deviation of 23.If 1 SAT score is randomly selected find the probability that it is greater than 1500. If 100 SAT scores are randomly selected, find the probability that they have a mean greater than 1500. If 1 SAT score is randomly selected find the probability that it is between 1400 and 1500. If 100 SAT scores are randomly selected, find the probability that they have a mean between 1400 and 1500.

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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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Assume that SAT scores are normally distributed with a mean of 2 and a standard deviation of 23.

If 1 SAT score is randomly selected find the probability that it is greater than 1500.

If 100 SAT scores are randomly selected, find the probability that they have a mean greater than 1500.

If 1 SAT score is randomly selected find the probability that it is between 1400 and 1500.

If 100 SAT scores are randomly selected, find the probability that they have a mean between 1400 and 1500.

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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