Answered: Use the table to answer the question.…

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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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 51.2 mm and a standard deviation of 2.7 mm. What percent of the butterflies had the following wingspans? (Round your answers to one decimal place.)

(a) less than 48.9 mm
(b) between 50 and 52 mm

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.

The cholesterol levels of a group of young women at a university are normally distributed, with a mean of 184 and a standard deviation of 39. What percent of the young women have the following cholesterol levels? (Round your answers to one decimal place.)

(a) greater than 223

%

(b) between 187 and 225
%

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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