// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
math.poisson-probability Calculator
Calculates the probability of exactly k events in a Poisson process with rate λ, plus cumulative probabilities P(X≤k) and P(X>k). If λ = 5 accidents per month, P(X = 0) = e⁻⁵ ≈ 0.67% — this makes rare-event risk concrete.
Inputs
Lambda
Reference formula or conversion factor shown for context.
K
Reference formula or conversion factor shown for context.
Results
P(X =
Reference formula or conversion factor shown for context.
P(X ≤
Reference formula or conversion factor shown for context.
P(X >
Reference formula or conversion factor shown for context.
λ (mean events)
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
P(X=k) = e^(-λ)·λ^k/k!
Reference formula or conversion factor shown for context.
use
Reference formula or conversion factor shown for context.