vault backup: 2026-02-20 14:53:32

2026-02-20 14:53:32 -05:00
parent 75883d1e4e
commit 7921929978
51 changed files with 678 additions and 677 deletions
@@ -0,0 +1,28 @@
+# 2026-01-30 16:29:??
+
+#topic/math/statistics
+
+### Laplace's Rule of Succession (LRS)
+
+> [!info]
+> Pierre-Simon Laplace
+
+If some event occurred $m$ times in $n$ observations,
+the probability the event will occur in the next observation
+is given by:
+
+$$
+\frac{1+m}{2+n}
+$$
+
+### Rule of Five
+
+The probability that any given sample is above the median is 50%.
+The probability that the minimum and maximum values of $n$ samples
+_don't_ straddle the median is $(\frac{1}{2})^{n}$,
+equivalent to getting the same result on a flipped coin
+$n$ times in a row.
+
+There is a 93.75% chance that the median of a population
+is between the smallest and largest values
+in any random sample of five from that population.