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Module 3 · Distributions · Topic 6

Normal Distribution Intro

The Normal Distribution. The normal (Gaussian) distribution is a continuous, symmetric, bell-shaped distribution defined by its mean (μ) and standard deviation (σ). It is the most important distribution in statistics.

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In the full lesson

  • Normal PDF (formula)
  • Empirical Rule (68-95-99.7) (text)
  • Real-World Example (example)

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Key formulas

From the Distributions formula sheet

  • Binomial PMF: P(X = k) = C(n,k)p^k(1-p)^(n-k) - Exact probability of k successes in n independent Bernoulli trials.
  • Z-Score: z = (x - mu) / sigma - Standardizes a value by measuring standard deviations from the mean.

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