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CIVE.2860: Probability and Statistics for Engineers

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Cloud to Ground Lightning   Photo by Rotareneg  CC BY SA

 

Welcome to Probability and Statistics for Engineers
This course is about probability and how it is measured: probability, statistics, reliability and decision with applications in engineering. Probability of events, discrete and continuous random variables, probability density functions and distributions, estimation, regression and correlation techniques, risk and reliability concepts.

Using Ebsco E-books

The publisher permissions for download vary: some titles allow unlimited pages, some limit to between between 60-100 pages. This allows the patron to take up to that page limit with no log-in or software requirement.  For EBSCO eBooks, the publisher permissions are set up by session so that patrons can take up to 60 pages per session. The page allowance refreshes once the ebook is closed.  So if you need another section or chapter, you can download an additional 60 pages that same day or another time. 

Instructions for Paste and Spellcheck 

You can also email chapters to yourself one at a time.
To Download 
➔ Click the Save Pages tab at the top left of page. Any download limits will appear here.

➔ Select to include in the PDF:

  • Current Page: Save only the page you are viewing.
  • Current Page and the next XX pages: Enter the number of pages (up to the Page Limit indicated in the box above) in the field provided.
  • This Section: Select to save the entire section or chapter of the eBook. (If available to select)
To Print

➔ Click eBook link
➔ Scroll to the first page of the section of pages you would like to print and click the Print Pages in the tools menu above.

➔ select your option from the tabs shown below

ebsco ebook landing page with save print email pages tabs

 

➔ Select to include in the PDF:

  • Current Page: Save only the page you are viewing.
  • Current Page and the next XX pages: Enter the number of pages (up to the Page Limit indicated in the box above) in the field provided.
  • This Section: Select to save the entire section or chapter of the eBook. (If available to select)
 
 

Course Objectives

Successful completion of this course will enable you to: ​

  • apply spreadsheet programs to manipulate and analyze data
    o apply formulae, use absolute relative & addressing, plot scatter and bar graphs

  • apply basic statistical analysis tools to data:
    o calculate mean, median, standard deviation, plot histograms, etc

  • apply basic probability theory (independence, conditional & joint probabilities)

  • apply Bayes’ theorem for posterior probabilities as applied to engineering and test design

  • apply basic probability & reliability theory to different engineering situations

  • apply basic decision theory to assess the expected value of a project

  • explain and use the basic forms & properties of probability mass & density functions (PMF,
    PDF) and cumulative distribution functions (CDF)

  • explain and apply specific discrete probability functions such as Bernoulli, Binomial,
    Geometric

  • explain and apply specific continuous probability functions such as Normal, lognormal,
    Student t, Chi-squared

  • analyze data to assess the parameters needed for each probability function

  • utilize appropriate probability functions to estimate probabilities of occurrence for specific
    engineering cases

  • estimate the confidence intervals of the predictions made using probability functions

  • determine best-fit linear functions for (x,y) data using least-squares regression techniques