POISSON
Point-to-point path
Failure rate λ
events per period
−
+
Period
per year
per quarter
per month
per week
SLA: max events
−
+
🎲 Roll one year
Sample 1,000 years
Live
Mean μ
3.00
Std σ
1.73
P(0 events)
4.98%
P(> SLA)
18.5%
Mode k
2
P(≤ SLA)
81.5%
Math
P(X = k) =
λ
k
· e
−
λ
/ k!
Probability of exactly k events in one period. Mean = variance = λ. Mode at ⌊λ⌋.
PROBABILITY MASS · P(X = k events)
λ =
3.00
events / year
Mean
3.00
Mode
2
P(zero)
4.98%
P(≤ SLA)
81.5%
P(> SLA)
18.5%
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