In the full lesson
- Z-Score Formula (formula)
- Interpreting Z-Scores (text)
- Worked Example (example)
- Z-Table Usage (tip)
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Module 3 · Distributions · Topic 7
Standard Normal & Z-Scores
Standard Normal Distribution. The standard normal distribution has μ = 0 and σ = 1. Any normal distribution can be converted to standard normal using z-scores.
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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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