In the full lesson
- Probability Example (example)
- Finding Values from Probabilities (text)
- Inverse Normal Example (example)
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Module 3 · Distributions · Topic 8
Normal Distribution Applications
Finding Probabilities. To find P(X < value) for a normal distribution: convert to a z-score, then look up the cumulative probability. Most statistics tools and calculators can do this directly.
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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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