Answered: For numbers 5-8, refer to the following…

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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the average precipitation for the first 8 months of the year is 18.35 inches with a standard deviation of 2.2 inches. assume that the average precipitation is normally distributed. What is the average precipitation of 5 randomly selected years for the first 8 months?

For numbers 5-8, refer to the following problem.
The average precipitation for the first 8 months of the year is 18.35 inches with a standard
deviation of 2.2 inches. Assume that the average precipitation is normally distributed.
5. What is the average precipitation of 5 randomly selected years for the first 8
months?
A. 18.35 inches
B. 19.32 inches
C. 19.35 inches
D. 20 inches
6. What is the standard deviation of 5 randomly selected years for the first 8
months?
A. 0.9930
B. 0.9839
C. 0.9837
D. 0.9720
7. What is the probability of 5 randomly selected years will have an average
precipitation greater than 19 inches for the first month?
A. 0.2454
B. 0.2546
C. 0.2645
D. 0.2735
8. What is the probability of 5 randomly selected years will have an average
precipitation less than 17 inches for the first month?
A. 0.9147
B. 0.4790
C. 0.0853
D. 0.0454

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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