VarAdn CaterGraded Assignment 3ue: 08/01Plesse, show your work ond write your answers in full sentencesName1 Complete the chart to construct the probability distribution and find the mean, variance, andstandard deviation of the probability distributionComputers The number of computers per household in a small townComputers () HouseholdsPlyx-A(x-HY(x- Pix)2613004001212200100a) Find the mean x.P(x))e ) aC0P(x)b) Find the variance x-21l BarFind the standard deviatione V (x-P(x)1f3)

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Asked Aug 1, 2019
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Var
Adn Cater
Graded Assignment 3
ue: 08/01
Plesse, show your work ond write your answers in full sentences
Name
1 Complete the chart to construct the probability distribution and find the mean, variance, and
standard deviation of the probability distribution
Computers The number of computers per household in a small town
Computers () Households
Ply
x-A
(x-HY(x- Pix)
261
300
400
1
21
2
200
100
a) Find the mean x.P(x))
e ) aC0
P(x)
b) Find the variance x-
21
l Bar
Find the standard deviatione V (x-P(x)
1f3)
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Var Adn Cater Graded Assignment 3 ue: 08/01 Plesse, show your work ond write your answers in full sentences Name 1 Complete the chart to construct the probability distribution and find the mean, variance, and standard deviation of the probability distribution Computers The number of computers per household in a small town Computers () Households Ply x-A (x-HY(x- Pix) 261 300 400 1 21 2 200 100 a) Find the mean x.P(x)) e ) aC0 P(x) b) Find the variance x- 21 l Bar Find the standard deviatione V (x-P(x) 1f3)

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Expert Answer

Step 1

Preliminary calculations:

The probability distribution is constructed as follows.

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(x-) (x-P(x) Computers (x) Households (P(x) | x-/i 300 0 0.3 -1.1 1.21 0.363 1 400 0.4 -0.1 0.01 0.004 2 200 0.2 0.9 0.81 0.162 100 0.361 3 0.1 1.9 3.61 (x-Px) 0.89 Ef=1,000 1.0

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Step 2

a) Computation of Mean:

The mean is calculated as 1.1, from the calculations given below.

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-ΣP(3) (0x0.3)+(1x 0.4) + (2 x 0.2) +(3x 0.1) 0 0.40.4 +0.3 =1.1

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Step 3

b) Computation of variance:

The variance is calculated as 0.89, fro...

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σ-Σ(-μ' P(3) = 0.363 0.004 0.162 +0.361 0.89

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