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Mathematics - iii (Differential Calculus) - Vol 3
The Normal Distribution is a crucial probability distribution in engineering, data analysis, and statistics, characterized by its symmetry around the mean and defined by the mean and standard deviation. The Central Limit Theorem underscores its importance, asserting that sample means approach a normal distribution irrespective of the population distribution's shape with a large enough sample size. Key concepts include the Standard Normal Distribution and various application domains such as engineering and finance.
20 Chapters
4 weeks
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Course Chapters
Chapter 1
Random Experiments
Chapter 2
Sample Space and Events
Chapter 3
Classical and Axiomatic Definitions of Probability
Chapter 4
Conditional Probability
Chapter 5
Bayes’ Theorem
Chapter 6
Random Variables (Discrete and Continuous)
Chapter 7
Probability Distribution Function (PDF)
Chapter 8
Cumulative Distribution Function (CDF)
Chapter 9
Expectation (Mean)
Chapter 10
Variance and Standard Deviation
Chapter 11
Moments and Moment Generating Functions
Chapter 12
Probability Mass Function (PMF)
Chapter 13
Probability Density Function (pdf)
Chapter 14
Joint Probability Distributions
Chapter 15
Marginal Distributions
Chapter 16
Covariance and Correlation
Chapter 17
Independence of Random Variables
Chapter 18
Binomial Distribution
Chapter 19
Poisson Distribution
Chapter 20