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{
  "title": "Probability Distribution",
  "symbol": "P(X)",
  "definition": "A probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment.",
  "usage": "Used in statistics, data science, and many fields that deal with uncertain outcomes.",
  "examples": [
    {
      "description": "Normal Distribution PDF",
      "latex": "f(x) = \\frac{1}{\\sigma\\sqrt{2\\pi}} e^{-\\frac{1}{2}(\\frac{x-\\mu}{\\sigma})^2}"
    },
    {
      "description": "Binomial Distribution PMF",
      "latex": "P(X = k) = \\binom{n}{k} p^k (1-p)^{n-k}"
    }
  ],
  "tags": [
    "statistics",
    "data science",
    "analysis"
  ],
  "relatedConcepts": [
    "expected value",
    "variance",
    "central limit theorem"
  ]
}

Probability Distribution

Symbol

P(X)

Definition

A probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes for an experiment.

Usage

Used in statistics, data science, and many fields that deal with uncertain outcomes.

Examples

Tags

Related Concepts