Answered: If a year has a rainfall less than…

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

6.10

The mean yearly rainfall in Sydney, Austrail, is about 137 mm and the standard deviation is about 69mm. Assume rainfall is normally distributed.

c. If a year has a rainfall less than 100mm, does that mean it is an usually dry year?

d. What rainfall amount are 90% of all yearly rainfalls more than?

For part c: I had thought to do

If P(x is less than r) which is less than .05 then it is unusual.

P(x is less than 100)+normalcdf (-1E99,100,137,69)

P(x is less than 100)=.296 , which is not less than .050

I am second guessing how to approach this problem.

Part D is the part I am definitely stumped on.

Thank you so much for your patience and time in advance.

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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