Answered: A plant biologist is interested in…

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

2) A plant biologist is interested in studying the height of sunflowers. He measures a large sample of
sunflowers and determines that their height is approximately normally distributed with mean 112 cm
and standard deviation 16 cm.
(a) What is the probability (approximately) that a sunflower will be less than 115 cm tall? Sketch the
area corresponding to this probability.
(b) What is the probability (approximately) that a sunflower will be between 100 and 120 cm tall?

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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