Answered: Biologists and ecologists record the…

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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Biologists and ecologists record the distributions of measurements made on animal species to help study the distribution and evolution of the animals. The African ¯nch Pyrenestes ostrinus is interesting because the distribution of its bill size has two peaks even though other body measurements follow Normal distributions. For example, a study in Cameroon found that the wing length of male ¯nches varies according to a Normal distribution with mean 61.2 mm and standard deviation 1.8 mm.

(a) What proportion of male ¯nches have wings longer than 65 mm?

(b) What is the wing length that only 2% of male finches exceed?

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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