In the full lesson
- Normal Approximation to Binomial (text)
- Approximation Example (example)
- Summary Table (tip)
Open the Distributions lessons or see what Premium includes.
Module 3 · Distributions · Topic 9
Comparing Distributions
When to Use Which Distribution. Binomial: fixed n independent trials with constant p. Poisson: count of events in a fixed interval with rate λ. Normal: continuous data that is symmetric and bell-shaped.
This is the opening of a Premium lesson. The full lesson, with its 4 sections, reads in the interactive course; the module's first lesson is free.
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.
Go interactive
Work this topic in StatRise
This module opens on its first lesson free; the rest of it unlocks with Premium. Every calculator and simulation below is free.
Keep reading