Answered: Use the table to answer the question.…

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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Use the table to answer the question. Note: Round z-scores to the nearest hundredth and then find the required A values using the table.

A biologist found the wingspans of a group of monary butterflies to be normally distributed with a mean of 52.6 mm and a standard deviation of 2.8 mm. What percent of the butterflies had the following wingspans? (Round your answers to one decimal place.)

(a) less than 48.2 mm
_________ %

(b) between 49 and 53 mm
_________ %

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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