Problem 44315. Predicting life and death of a memory-less light bulb

Created by AMITAVA BISWAS

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:rPr><w:b/></w:rPr><w:t>&amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161 &amp;#128161</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>You have a light bulb that can fail any moment according to the exponential probability distribution.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>At any moment, the probability that it will survive just N hours = exp(-N*P), where P is a constant.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Notice that this probability is very small if N is very large.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Now suppose, the bulb has already survived N hours.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Please calculate the probability of its surviving M more hours.</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

672 Solutions
283 Solvers

Last Solution submitted on Jun 14, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers283

Problem Tags

cody5 decay expectation memory-less probability random stochastic

Community Treasure Hunt

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

Start Hunting!

Problem 44315. Predicting life and death of a memory-less light bulb

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers283

Suggested Problems

More from this Author100

Problem Tags

Community Treasure Hunt

Problem 44315. Predicting life and death of a memory-less light bulb

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers283

Suggested Problems

More from this Author100

Problem Tags

Community Treasure Hunt

Players