What’s on the Discrete Distributions poster
A 6-row table: Distribution · Mean · Variance.
Use these when what varies is a count.
- Bernoulli(p) — p — p(1 − p)
- Binomial(n, p) — np — np(1 − p)
- Geometric(p) — 1/p — (1 − p)/p²
- Poisson(λ) — λ — λ
- Uniform on 1 to n — (n + 1)/2 — (n² − 1)/12
- Negative binomial(r, p) — r/p — r(1 − p)/p²
Poisson is the limit of Binomial with n large, p small and np fixed at λ. Its mean equals its variance, which is a testable claim.
Questions about the Discrete Distributions poster
- What’s on the Discrete Distributions poster?
- A 6-row table: Distribution · Mean · Variance. Use these when what varies is a count. Bernoulli(p) — p — p(1 − p); Binomial(n, p) — np — np(1 − p); Geometric(p) — 1/p — (1 − p)/p²; Poisson(λ) — λ — λ; Uniform on 1 to n — (n + 1)/2 — (n² − 1)/12; Negative binomial(r, p) — r/p — r(1 − p)/p². Poisson is the limit of Binomial with n large, p small and np fixed at λ. Its mean equals its variance, which is a testable claim.
- Who is the Discrete Distributions poster for?
- Discrete Distributions belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning probability & statistics can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Discrete Distributions poster?
- Match the experiment to the distribution before doing any calculation. A wall chart earns its place by being glanceable from where the work is happening, so Discrete Distributions belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Discrete Distributions?
- Bayes' Theorem, Central Limit Theorem and Conditional Probability sit alongside Discrete Distributions in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.Bayes' TheoremCentral Limit TheoremConditional Probability
- Is the Discrete Distributions poster free to download and print?
- Yes. Discrete Distributions downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Discrete Distributions poster print at?
- Discrete Distributions is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Discrete Distributions loses nothing.Printing guide
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