Probability Density Function of Normal Distribution

Formula: f(x) = 1 σ√(2π) e^ - (1)/(2)((x - μ)/(σ) ight)² Conditions: Continuous random variable, parameter μ is the mean, σ is the standard deviation ( σ > 0 )…

Syllabus path: Probability and Statistics › Normal Distribution

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CSCA Mathematics Formula Reference

Formula and explanation

Formula: f(x) = 1 σ√(2π) e^ - (1)/(2)((x - μ)/(σ) ight)² Conditions: Continuous random variable, parameter μ is the mean, σ is the standard deviation ( σ > 0 ). Brief Description: This function describes the probability density of a normally distributed random variable. The curve is bell - shaped and symmetric about x = μ.

Related tutorial and examples

Normal Distribution

Normal Distribution 1. Core Concepts and Graph Features The Normal Distribution (or Gaussian Distribution) is the most important continuous distribution. Its probability density curve is Bell - shaped. It is denoted as X ≈ N(μ, σ²). Mean ( μ ): Determines the central location of …

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