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Syllabus for Engineering Statistics

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

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Syllabus for Engineering Statistics

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  1. 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

  2. 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

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

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

  5. 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.

  6. Good luck in the exams!

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