answer a b c

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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answer a b c
The Acme Company manufactures widgets. The distribution of widget weights
is bell-shaped. The widget weights have a mean of 45 ounces and a standard
deviation of 9 ounces.
a) 68% of the widget weights lie between
and
b) What percentage of the widget weights lie between 27 and 54 ounces?
%
c) What percentage of the widget weights lie above 18 ?
%
Transcribed Image Text:The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 45 ounces and a standard deviation of 9 ounces. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 27 and 54 ounces? % c) What percentage of the widget weights lie above 18 ? %
Expert Solution
Step 1

here we use empirical rule 

From given data we have :

mean =45

SD = 9

Approx. 99.7% of the data lies between ± 3 SD, or between 18 and 72

Approx. 95% of the data lies between ± 2 SD, or between 27 and 63

Approx. 68% of the data lies between ± 1 SD, or between 36 and 54

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