ENGINEERING TRIPOS PART IB - 2012/2013

PAPER 7 - MATHEMATICAL METHODS (3)

Probability

Leader: Dr C.E. Rasmussen

Timing: 1 lecture per week in weeks 1-6

Structure: 6 lectures

AIMS

To aims of the course are to:

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

OBJECTIVES

As specific objectives, students should:

Probablity and Statistics

• Become familiar with simple ideas of probability, mean, variance, etc.
• Be able to manipulate random variables and probability density functions.
• Be able to solve simple statistical problems of engineering importance.

SYLLABUS

1. Probability and Statistics

• 1.1. Probability.
• 1.2. Conditional probability and independence.
• 1.3. Permutations and combinations.
• 1.4. Binomial and Poisson distributions.
• 1.5. Expectation of a discrete random variable.
• 1.6. Variance and standard deviation.
• 1.7. Probability density function for a continuous random variable.
• 1.8. Mean and variance.
• 1.9. Normal and exponential distribution.
• 1.10. Tests of significance and confidence intervals.

REFERENCES

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