Topics to be Read from Probability for Data Science
Probability is a way of measuring how likely something is to happen. It is a measure of the likelihood of an event occurring. More formally, it is a numerical measure that quantifies the likelihood of a particular outcome or set of outcomes occurring in an uncertain situation.
1. Probability Fundamentals:
i. Sample space and events
ii.Basic probability axioms
iii. Types of Probability
iii. Conditional Probability
iv. Types of Events
v. Complement rule
vi. Addition rule
vii.Multiplication rule
2. Bayesian Probability:
i. Bayes’ theorem
ii. Prior likelihood and posterior probabilities
iii. Bayesian inference
3. Probability Distributions:
i. Discrete probability distributions (e.g., Bernoulli, binomial, Poisson)
ii. Continuous probability distributions (e.g., normal, exponential)
iii. Probability mass function (PMF)
iv. Probability density function (PDF)
v. Cumulative distribution function (CDF)
4. Central limit theorem:
These topics form the backbone of probability theory in the context of data science, providing essential tools for analyzing data, building models, and making predictions.
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