What’s on the Discrete vs Continuous poster
Discrete against Continuous, side by side.
- Discrete: Takes countably many values
- Discrete: PMF: P(X = x), summing to 1
- Discrete: P(X = x) can be positive
- Discrete: E[X] = Σ x P(X = x)
- Discrete: Binomial, Poisson, Geometric
- Discrete: The CDF is a step function
- Continuous: Takes values across an interval
- Continuous: PDF: f(x) ≥ 0, integrating to 1
- Continuous: P(X = x) = 0 for every single x
- Continuous: E[X] = ∫ x f(x) dx
- Continuous: Normal, Exponential, Uniform
- Continuous: The CDF is continuous
- For a continuous variable, only intervals carry probability. A density is not itself…
f(x) may well exceed 1: it is probability per unit x, not probability. Only its integral is bounded by 1.
Questions about the Discrete vs Continuous poster
- What’s on the Discrete vs Continuous poster?
- Discrete against Continuous, side by side. Discrete: Takes countably many values; Discrete: PMF: P(X = x), summing to 1; Discrete: P(X = x) can be positive; Discrete: E[X] = Σ x P(X = x); Discrete: Binomial, Poisson, Geometric; Discrete: The CDF is a step function; Continuous: Takes values across an interval; Continuous: PDF: f(x) ≥ 0, integrating to 1; Continuous: P(X = x) = 0 for every single x; Continuous: E[X] = ∫ x f(x) dx; Continuous: Normal, Exponential, Uniform; Continuous: The CDF is continuous; For a continuous variable, only intervals carry probability. A density is not itself…. f(x) may well exceed 1: it is probability per unit x, not probability. Only its integral is bounded by 1.
- Who is the Discrete vs Continuous poster for?
- Discrete vs Continuous 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 vs Continuous poster?
- Before writing a sum or an integral, settle which kind of variable you have. A wall chart earns its place by being glanceable from where the work is happening, so Discrete vs Continuous belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Discrete vs Continuous?
- Bayes' Theorem, Central Limit Theorem and Conditional Probability sit alongside Discrete vs Continuous 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 vs Continuous poster free to download and print?
- Yes. Discrete vs Continuous 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 vs Continuous poster print at?
- Discrete vs Continuous 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 vs Continuous loses nothing.Printing guide
Related posters
Charts that sit alongside Discrete vs Continuous on the same wall.
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