The mean monthly maximum temperatures for January in Canberra can be modelled by a Normal distribution with mean, μ = 25.95 OC and a standard deviation, σ = 1.13 OC.What is the probability that the average maximum temperature for a randomly selected January was more than 26.5 OC? (4 dp) What proportion of January months would you expect the average maximum temperature to be less than 25.5 OC? (4 dp)What proportion of January months would you expect the average maximum temperature to be between than 25.5 OC and 26.5 OC? (4 dp)

Normal distribution: 1)Given data,μ=25.95σ=1.13Px< 26.5=Px-μσ<26.5-25.951.13…

Answered: The mean monthly maximum temperatures…

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 mean monthly maximum temperatures for January in Canberra can be modelled by a Normal distribution with mean, μ = 25.95 ^OC and a standard deviation, σ = 1.13 ^OC.

What is the probability that the average maximum temperature for a randomly selected January was more than 26.5^OC? (4 dp)
What proportion of January months would you expect the average maximum temperature to be less than 25.5 ^OC? (4 dp)
What proportion of January months would you expect the average maximum temperature to be between than 25.5 ^OC and 26.5^OC? (4 dp)

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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