Answered: The lifespans of gorillas in a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives \[20.8\] years; the standard deviation is \[3.1\] years.

Use the empirical rule \[(68-95-99.7\%)\] to estimate the probability of a gorilla living between \[11.5\] and \[27\] years.

\[\%\]

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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