probability

7 articles · All tags

• The Normal Distribution: The Bell Curve Explained
  The normal distribution, or bell curve, is symmetric around its mean. Learn the 68-95-99.7 rule, z-scores, why it appears so often, and where it fails.
• The Monty Hall Problem: Why Switching Wins 2/3 of the Time
  In the Monty Hall problem, switching doors wins the car two-thirds of the time. See the counterintuitive probability explained step by step, with its assumptions.
• Markov Chains
  Markov chains explained: memoryless processes, transition matrices, stationary distributions, and uses from PageRank to weather models and text generation.
• Hypothesis Testing
  The statistical framework for deciding whether data support a claim, using null hypotheses, p-values, and error probabilities.
• Central Limit Theorem
  The theorem that averages of many independent random variables become approximately normally distributed, regardless of the original distribution.
• Standard Deviation
  A measure of how spread out a set of values is around its mean, expressed in the same units as the data.
• Bayes' Theorem
  The rule for updating the probability of a hypothesis when new evidence arrives, relating prior and conditional probabilities.