Explore fundamental concepts, theorems, and applications in probability and statistics.
Probability theory is the branch of mathematics that deals with the likelihood of events occurring. This guide will introduce you to basic probability concepts.
Read MoreExplore fundamental counting rules, permutations, combinations, and circular arrangements used in probability.
Read MoreUnderstand probability definitions, sample space, events, and axioms like non-negativity and additivity.
Read MoreLearn to define sample spaces and different types of events along with set operations.
Read MoreDistinguish between independence and mutual exclusivity, and compute related probabilities.
Read MoreDive into the relationships among marginal, conditional, and joint probabilities.
Read MoreMaster Bayes' theorem and its use in diagnostic and classification problems.
Read MoreLearn to compute the expected value and variance under conditions.
Read MoreUnderstand and calculate mean, median, mode, and standard deviation for data sets.
Read MoreAnalyze relationships and variability between variables using correlation and covariance.
Read MoreIdentify and work with different types of random variables and their distributions.
Read MoreStudy key probability distributions such as Binomial, Poisson, Normal, and Exponential.
Read MoreLearn how the CDF helps compute probabilities for both discrete and continuous cases.
Read MoreUnderstand and apply conditional PDFs in probability models.
Read MoreExplore how the CLT helps approximate distributions and its importance in statistics.
Read MoreBuild and interpret confidence intervals for various population parameters.
Read MoreUnderstand hypothesis formulation, errors, and conduct various statistical tests like z-test, t-test, and chi-squared test.
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