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