Syllabus for Engineering Statistics Probability: rules, cond. probability, independence Summarising and presenting data Discrete and continuous random.

Syllabus for Engineering Statistics• Probability: rules, cond. probability, independence• Summarising and presenting data• Discrete and continuous random variables:

probability distributions. Special cases: binomial, Poisson, hypergeometric, normal, exponential

• Expected values and variances of r.v.’s, linear combinations

• Sampling distributions: sample mean, proportions, variance. Standard error, Central limit theorem

• Point and interval estimation: mean, proportion• Control charts: construction and use, Xbar and S

Further topics

• Bivariate and multivariate relationships: prediction, modelling, regression etc.

• Time series analysis

• Reliability of components and systems

• Design and analysis of surveys

• Design and analysis of experiments

• Signal processing: speech, image, video

Microphotograph of a thin section. The colours of different grains are produced due to Birefringence(Double refraction).

To fit ellipses to grains a clear idea about grain boundary is necessary.

Strain Measurement• Magnitude of deformation is a marker of strain.• Hence to measure strain we have to measure ellipse parameters, namely Major and Minor Axes and orientation. • Ellipse parameters are obtained by fitting ellipses to grains.

Good luck in the exams!