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Engineering Tripos Part IB, 2P7: Probability, 2024-25

Course Leader

Dr T Savin

Lectures

Dr T Savin

Timing and Structure

Week 1, 1 lecture; weeks 2-4, 2 lectures per week. 7 lectures total. Weeks 1-4, one online Q&A session per week.

Aims

The aims of the course are to:

  • Show how concepts of probability can be applied to engineering applications.

Objectives

As specific objectives, by the end of the course students should be able to:

  • Explain and use simple ideas of probability, mean, variance, etc.
  • Manipulate random variables and probability density functions.
  • Solve simple statistical problems of engineering importance.

Content

Probability and Statistics

  • Probability
  • Conditional probability and independence
  • Expectation of a random variable
  • Probability density function for a continuous random variable
  • Key discrete probability mass functions
  • Key continuous probability density functions
  • Functions of random variables
  • Multivariate distributions
  • Decision and estimation: basic definitions
  • Tests of significance

Further Information

Further information, including details of each lecture and hand-outs are available on the course moodle site.

Booklists

Please refer to the Booklist for Part IB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

 
Last modified: 30/07/2024 08:50

Engineering Tripos Part IB, 2P7: Probability, 2023-24

Course Leader

Dr T Savin

Lectures

Dr T Savin

Timing and Structure

Week 1, 1 lecture; weeks 2-4, 2 lectures per week. 7 lectures total. Weeks 1-4, one online Q&A session per week.

Aims

The aims of the course are to:

  • Show how concepts of probability can be applied to engineering applications.

Objectives

As specific objectives, by the end of the course students should be able to:

  • Explain and use simple ideas of probability, mean, variance, etc.
  • Manipulate random variables and probability density functions.
  • Solve simple statistical problems of engineering importance.

Content

Probability and Statistics

  • Probability
  • Conditional probability and independence
  • Expectation of a random variable
  • Probability density function for a continuous random variable
  • Key discrete probability mass functions
  • Key continuous probability density functions
  • Functions of random variables
  • Multivariate distributions
  • Decision and estimation: basic definitions
  • Tests of significance

Further Information

Further information, including details of each lecture and hand-outs are available on the course moodle site.

Booklists

Please refer to the Booklist for Part IB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

 
Last modified: 30/05/2023 15:14

Engineering Tripos Part IB, 2P7: Probability, 2022-23

Course Leader

Dr T Savin

Lectures

Dr T Savin

Timing and Structure

Online recorded lectures. One live Q&A session per week in Weeks 1-4.

Aims

The aims of the course are to:

  • Show how concepts of probability can be applied to engineering applications.

Objectives

As specific objectives, by the end of the course students should be able to:

  • Explain and use simple ideas of probability, mean, variance, etc.
  • Manipulate random variables and probability density functions.
  • Solve simple statistical problems of engineering importance.

Content

Probability and Statistics

  • Probability
  • Conditional probability and independence
  • Expectation of a random variable
  • Probability density function for a continuous random variable
  • Key discrete probability mass functions
  • Key continuous probability density functions
  • Functions of random variables
  • Multivariate distributions
  • Decision and estimation: basic definitions
  • Tests of significance

Further Information

Further information, including details of each lecture and hand-outs are available on the course moodle site.

Booklists

Please refer to the Booklist for Part IB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

 
Last modified: 24/05/2022 14:09

Engineering Tripos Part IB, 2P7: Probability, 2021-22

Course Leader

Dr T Savin

Lectures

Dr T Savin

Timing and Structure

Online recorded lectures. One live Q&A session per week in Weeks 1-4.

Aims

The aims of the course are to:

  • Show how concepts of probability can be applied to engineering applications.

Objectives

As specific objectives, by the end of the course students should be able to:

  • Explain and use simple ideas of probability, mean, variance, etc.
  • Manipulate random variables and probability density functions.
  • Solve simple statistical problems of engineering importance.

Content

Probability and Statistics

  • Probability
  • Conditional probability and independence
  • Expectation of a random variable
  • Probability density function for a continuous random variable
  • Key discrete probability mass functions
  • Key continuous probability density functions
  • Functions of random variables
  • Multivariate distributions
  • Decision and estimation: basic definitions
  • Tests of significance

Further Information

Further information, including details of each lecture and hand-outs are available on the course moodle site.

Booklists

Please refer to the Booklist for Part IB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

 
Last modified: 20/05/2021 07:23

Engineering Tripos Part IB, 2P7: Probability, 2020-21

Lectures

Dr J Sayir

Timing and Structure

Online recorded lectures. One live Q&A session per week in Weeks 1-4.

Aims

The aims of the course are to:

  • Show how concepts of probability can be applied to engineering applications.

Objectives

As specific objectives, by the end of the course students should be able to:

  • Explain and use simple ideas of probability, mean, variance, etc.
  • Manipulate random variables and probability density functions.
  • Solve simple statistical problems of engineering importance.

Content

Probability and Statistics

  • Probability
  • Conditional probability and independence
  • Expectation of a random variable
  • Probability density function for a continuous random variable
  • Key discrete probability mass functions
  • Key continuous probability density functions
  • Functions of random variables
  • Multivariate distributions
  • Decision and estimation: basic definitions
  • Tests of significance

Further Information

Further information, including details of each lecture and hand-outs are available on the course moodle site.

Booklists

Please refer to the Booklist for Part IB Courses for references to this module, this can be found on the associated Moodle course.

Examination Guidelines

Please refer to Form & conduct of the examinations.

 
Last modified: 10/09/2020 09:49

Engineering Tripos Part IB, 2P7: Probability, 2019-20

Lectures

Dr J Sayir

Timing and Structure

1 or 2 lectures per week in weeks 1-4. 6 lectures.

Aims

The aims of the course are to:

  • Show how concepts of probability can be applied to engineering applications.

Objectives

As specific objectives, by the end of the course students should be able to:

  • Explain and use simple ideas of probability, mean, variance, etc.
  • Manipulate random variables and probability density functions.
  • Solve simple statistical problems of engineering importance.

Content

Probability and Statistics

  • Probability.
  • Conditional probability and independence.
  • Permutations and combinations.
  • Binomial and Poisson distributions.
  • Expectation of a discrete random variable.
  • Variance and standard deviation.
  • Probability density function for a continuous random variable.
  • Mean and variance.
  • Normal and exponential distribution.
  • Tests of significance and confidence intervals

Further Information

Further information, including details of each lecture and hand-outs are available on the course moodle site.

Booklists

Please see the Booklist for Part IB Courses for references for this module.

Examination Guidelines

Please refer to Form & conduct of the examinations.

 
Last modified: 06/10/2019 14:09

Engineering Tripos Part IB, 2P7: Probability, 2018-19

Leader

Prof C Rasmussen

Timing and Structure

1 or 2 lectures per week in weeks 1-4. 6 lectures.

Aims

The aims of the course are to:

  • Show how concepts of probability can be applied to engineering applications.

Objectives

As specific objectives, by the end of the course students should be able to:

  • Explain and use simple ideas of probability, mean, variance, etc.
  • Manipulate random variables and probability density functions.
  • Solve simple statistical problems of engineering importance.

Content

Probability and Statistics

  • Probability.
  • Conditional probability and independence.
  • Permutations and combinations.
  • Binomial and Poisson distributions.
  • Expectation of a discrete random variable.
  • Variance and standard deviation.
  • Probability density function for a continuous random variable.
  • Mean and variance.
  • Normal and exponential distribution.
  • Tests of significance and confidence intervals

Further Information

Further information, including details of each lecture and hand-outs are available here: http://mlg.eng.cam.ac.uk/teaching/1BP7

Booklists

Please see the Booklist for Part IB Courses for references for this module.

Examination Guidelines

Please refer to Form & conduct of the examinations.

 
Last modified: 17/05/2018 15:36

Engineering Tripos Part IB, 2P7: Probability, 2017-18

Leader

Prof C Rasmussen

Timing and Structure

1 or 2 lectures per week in weeks 1-4. 6 lectures.

Aims

The aims of the course are to:

  • Show how concepts of probability can be applied to engineering applications.

Objectives

As specific objectives, by the end of the course students should be able to:

  • Explain and use simple ideas of probability, mean, variance, etc.
  • Manipulate random variables and probability density functions.
  • Solve simple statistical problems of engineering importance.

Content

Probability and Statistics

  • Probability.
  • Conditional probability and independence.
  • Permutations and combinations.
  • Binomial and Poisson distributions.
  • Expectation of a discrete random variable.
  • Variance and standard deviation.
  • Probability density function for a continuous random variable.
  • Mean and variance.
  • Normal and exponential distribution.
  • Tests of significance and confidence intervals

Further Information

Further information, including details of each lecture and hand-outs are available here: http://mlg.eng.cam.ac.uk/teaching/1BP7

Booklists

Please see the Booklist for Part IB Courses for references for this module.

Examination Guidelines

Please refer to Form & conduct of the examinations.

 
Last modified: 16/04/2018 13:29

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