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Gate Data Science and AI
·
Module 4
Probability and Statistics with Python
1
Counting Principles: Permutations & Combinations
Apply fundamental counting principles, including permutations and combinations.
2
Probability Calculations: Axioms, Conditional Probability, and Bayes' Theorem
Calculate probabilities using axioms, conditional probability, and Bayes' theorem.
3
Discrete vs. Continuous Random Variables
Differentiate between discrete and continuous random variables and their distributions (PMF/PDF).
4
Expected Value and Variance of Random Variables
Calculate and interpret the expected value and variance of random variables.
5
Modeling with Discrete Probability Distributions
Model scenarios using Bernoulli, Binomial, and Poisson distributions.
6
Modeling with Common Probability Distributions
Model scenarios using Uniform, Exponential, and Normal distributions.
7
Descriptive Statistics with Pandas
Compute and interpret descriptive statistics (mean, median, variance) for a dataset using Pandas.
8
Visualizing Data with Matplotlib and Seaborn
Create and interpret histograms, box plots, and scatter plots using Matplotlib and Seaborn.
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Mathematical Foundations: Calculus for Optimization
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Core Data Structures