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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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