Problem 87. Indexed Probability Table

Created by Cody Team

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>This question was inspired by a Stack Overflow question forwarded to me by Matt Simoneau.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given a vector x, make an indexed probability vector p that shows the likelihood of each unique element of x occurring. You can assume that x will always be composed of integers greater than 0.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For example, if x is [4 4 4 4] then the number 4 is 100% likely to occur and no other number has any likelihood of occurring. By convention, p has as many elements as the highest number in x. This makes the indexing straightforward. So in this case, p = [0 0 0 1]. That is, p(4) = 1, which is to say that 4 occurs with 100% probability, as noted above. Note that p has no dependence on the order of the elements in x.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>If</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ x = [1 2 1 2 1 2 1 2 1 2]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>then</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ p = [0.5 0.5].]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>And if</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ x = [5 5 2 8]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>then</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[ p = [0 0.25 0 0 0.5 0 0 0.25]]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

2866 Solutions
1736 Solvers

Last Solution submitted on May 20, 2022

Last 200 Solutions

Problem Comments

1 Comment

1 Comment

Gareth Lee on 2 Dec 2014

Is it not permitted by using tabulate function to solve it?

Solution Comments

Solution 6624529

Solution 1125200

1 Comment

1 Comment

shahriar memaran on 1 Mar 2017

Good job with the solution. You must have given it a lot of thinking !!!
A..h... cheater !!!

Problem Recent Solvers1736

Problem Tags

matlab

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 87. Indexed Probability Table

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers1736

Suggested Problems

More from this Author95

Problem Tags

Community Treasure Hunt

Problem 87. Indexed Probability Table

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers1736

Suggested Problems

More from this Author95

Problem Tags

Community Treasure Hunt

Players