#### MAT 212: Probability & Statistics for Science and Engineering

Description

Recently, statistics is becoming increasingly important in understanding physical phenomenon. This is mainly because of two reasons: a) the problems are becoming extremely complicated, so that application of physical laws is becoming increasingly difficult b) in many cases, even the physical laws are not clearly defined or understood. In all these cases, researchers rely upon statistical methods to obtain some insight into the problem. The course ‘MAT 212 Probability and Statistics' have been designed as a first course of Statistics for the students who want to graduate from the department of Electrical and Electronic Engineering. As such, no prior knowledge of statistics is needed. But knowledge of Differential and Integral Calculus is required. It shall be assumed that all students have the necessary background in these branches of mathematics. Students are advised to procure a scientific calculator for use in the class. The calculator must have the function to calculate factorial of an integer, exponential calculation, power calculation and preferably compute permutation and combination calculations. Students may use programmable calculators in examinations.

Topics covered include discrete and continuous random variables; probability concepts; discrete and continuous distributions; Binomial, Poisson, Normal, Exponential distributions; moments and moment generating functions, joint probability distributions; sampling distributions; confidence intervals; Least Square regression; hypothesis testing; analysis of variance.

Website for the Department of Physical Sciences - http://www.secs.iub.edu.bd/PHYS/index.php

Course Type Foundation 3 45
Expected Outcome(s):
• Understand and recall the basic definitions of probability and statistical inference.
• Understand the concept of a statistical distribution.
• Derive the mean and variance of a variety of random variables.
• Carry out a significance test and construct a confidence interval.
• Manipulate probabilities in practical situations.

Biweekly Quiz, One Midterm Exam, One Final Exam, Project