Debug Info:
{
"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.