Probability Density Function of Standard Normal Distribution

Formula: (z) = 1 √(2π) e^ - (z²)/(2) Conditions: Standard normal distribution, i.e., normal distribution with mean μ = 0 and standard deviation σ = 1. Brief De…

Syllabus path: Probability and Statistics › Normal Distribution

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CSCA Mathematics Formula Reference

Formula and explanation

Formula: (z) = 1 √(2π) e^ - (z²)/(2) Conditions: Standard normal distribution, i.e., normal distribution with mean μ = 0 and standard deviation σ = 1. Brief Description: This is a special case of the normal distribution and serves as the basis for probability calculations and table lookups. Any normal distribution can be standardized to this form via Z = (X - μ)/(σ).

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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