A stu XA stu XS Assu XNorr XNorr XМ Мус хБ Ans XG a) O x G with xG Doe XBino Xb Ansv x G A di: X +->myopenmath.comAppsGmailO YouTube M MyOpenMathSign InStudy Smart ANU C..GeoGebra | Free M...AIP Mysterious Rays Structure of atom:..J. J. Thomson's exp...Free Cumulative Bin...>>The graph illustrates a normal distribution for the prices paid for a particular model of HD television. Themean price paid is $2000 and the standard deviation is $115.The empirical rule, also known as the 68-95-99.7% rule is an estimate of the spread of a data. Use yourknowledge of the empirical rule to calculate your answers as approximate percentages. (Please only referto the z-table if you want to check if the approximation is close.)1655177018852000211522302345Distribution of PricesWhat is the approximpercentage of buyers who paid less than $1770?2.28What is the approximate percentage of buyers who paid between $2000 and $2345?49.85What is the approximate percentage of buyers who paid between $2000 and $2115?34What is the approximate percentage of buyers who paid more than $2345?0.13What is the approximate percentage of buyers who paid between $1770 and $2000?47.5What is the approximate percentage of buyers who paid between $1885 and $2115?68Question Help: D Video 1D Video 2 D Post to forumAdd Work

Answered: The graph illustrates a normal…

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CT: Test

Problem 24CT

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Norr X
М Мус х
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G Doe X
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b Ansv x G A di: X +
->
myopenmath.com
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GeoGebra | Free M...
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>>
The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The
mean price paid is $2000 and the standard deviation is $115.
The empirical rule, also known as the 68-95-99.7% rule is an estimate of the spread of a data. Use your
knowledge of the empirical rule to calculate your answers as approximate percentages. (Please only refer
to the z-table if you want to check if the approximation is close.)
1655
1770
1885
2000
2115
2230
2345
Distribution of Prices
What is the approxim
percentage of buyers who paid less than $1770?
2.28
What is the approximate percentage of buyers who paid between $2000 and $2345?
49.85
What is the approximate percentage of buyers who paid between $2000 and $2115?
34
What is the approximate percentage of buyers who paid more than $2345?
0.13
What is the approximate percentage of buyers who paid between $1770 and $2000?
47.5
What is the approximate percentage of buyers who paid between $1885 and $2115?
68
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D Video 2 D Post to forum
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Step 1

Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any specific subpart to be answered then please submit that subpart only or specify the subpart in your message.

Given that,

The prices paid for a particular model of HD television is normally distributed with mean price $2000 and standard deviation is $115.

Step 2

Percentage of buyers who paid less than $1770:

The percentage of buyers who paid less than $1770 can be calculated as follows:

$\begin{array}{rcl} P (X < 1770) & = & P (\frac{X - μ}{σ} < \frac{1770 - μ}{σ}) \\ = & P (Z < \frac{1770 - 2000}{115}) \\ = & P (Z < - 2.00) \\ = & 0.0228 \end{array}$

The percentage of buyers who paid less than $1770 is approximately 2%.

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