Binomial Distribution

BINOMIAL DISTRIBUTION Parameters Number of Trials, n = Success Probability, p =

Characteristics Mean, E(X) = E(X²) = E(X²)-(E(X))² = Median = Mode = Skewwness = Excess Kurtosis =

40 0.6

Probability Calculation Lower bound, l = 18 Upper bound, u = 25 P( 18 ≤ X ≤ 25) = 0.6637

Moment-Generating Function (mgf) 24.0000 585.6000 9.6000 0.0000 0.0000 -0.0645 -0.0458

(1 - p - p.e t

=

mgf

=

t

)

n

1

4072.7337

Probability Mass Function 42.5 40 37.5 35 32.5 30 27.5

P( 18 ≤ ≤ 25)

25 22.5 20

X

P(x)

17.5 15 12.5 10 7.5 5 2.5 0 1 2

3 4

5 6

7 8

9 1 0

1 1 1 2

1 1 3 4

1 1 5 6

1 1 7 8

1 2 9 0

2 2 1 2

2 2 3 4

2 2 5 6

2 2 7 8

2 3 9 0

3 3 1 2

3 3 3 4

3 3 5 6

3 3 7 8

3 9

4 4 0 1

Cumulative Distribution Functio 1.1 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 0 0

5

10

15

20

25

30

35

40

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Follow the steps to enable your Binomial Distribution template. >>

This template is prepared for calculating Beta distributions for selected parameters. Moments are also calculated with the moment-generating function for analyzing the distribution.

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Your Binomial Distribution template is ready to use. Following steps are for online use. If you want to use the file online, check the box below (this will disable desktop use)

0 1)

Visit the site below: http://www.spreadsheetweb.com/getting_started.htm You will only need the username and password to create your Binomial Distribution template.

2)

Visit the site below: http://trial.spreadsheetweb.com/spreadsheetweb/ Login to page with your new account information.

3)

Click "Add Web Application" to upload this file. Your Binomial Distribution template will be created automatically. You can simply use the Binomial Distribution template from that link or place it on your website.

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Your Binomial Distribution template will look like: http://www1.spreadsheetweb.com/SpreadSheetWeb/Output.aspx?ApplicationId=4a78ce95-82cb-4d2f-9272-56ef661882bd

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In order to see more online applications created with PSW you can check the link below: http://www.spreadsheetweb.com/demos.htm

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