Advance Maths: Part III: Statistics & Probability

This course covers all the details of Statistics like range, coefficient of range of descrete and grouped data, mean deviation and standard deviation from mean of grouped and ungrouped data, weighted means, variance and coefficient of variance, comparison of two sets of observation, etc.

This course also covers a major and important part of Probability like algebra of sets, theorems and their applications, probability distribution: Binomial, Normal and Poisson, etc.

Probability and statistics are concerned with events which occur by chance. Examples include occurrence of accidents, errors of measurements, production of defective and nondefective items from a production line, and various games of chance, such as drawing a card from a well-mixed deck, flipping a coin, or throwing a symmetrical six-sided die. In each case we may have some knowledge of the likelihood of various possible results, but we cannot predict with any certainty the outcome of any particular trial. Probability and statistics are used throughout engineering. In electrical engineering, signals and noise are analyzed by means of probability theory. Civil, mechanical, and industrial engineers use statistics and probability to test and account for variations in materials and goods. Chemical engineers use probability and statistics to assess experimental data and control and improve chemical processes. It is essential for today’s engineer to master these tools.