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expected_value_and_variance_properties [2025/09/30 10:36] – [e.gs in R] hkimscilexpected_value_and_variance_properties [2026/03/17 07:06] (current) hkimscil
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-====== Theorems ======+====== Expected value and variance properties ======
 ^ EXPECT VALUE ^^ ^ EXPECT VALUE ^^
 | $E(X)$ | $\sum{X}\cdot P(X=x)$  | | $E(X)$ | $\sum{X}\cdot P(X=x)$  |
Line 207: Line 207:
 ====== e.gs in R  ====== ====== e.gs in R  ======
 R에서 이를 살펴보면 R에서 이를 살펴보면
 +<tabbox rs01>
 <code> <code>
 # variance theorem 4-1, 4-2 # variance theorem 4-1, 4-2
Line 272: Line 273:
  
 </code> </code>
 +<tabbox ro01>
 <code> <code>
 > # variance theorem 4-1, 4-2 > # variance theorem 4-1, 4-2
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 [1,]   16 [1,]   16
  
-</code>+> v.111 <- var(x1 + x1 + x1) 
 +> v.111 
 +     [,1] 
 +[1,]   36 
 +> var(3*x1) 
 +     [,1] 
 +[1,]   36 
 +> 3^2*var(x1) 
 +     [,1] 
 +[1,]   36 
 +
  
 +</code>
 +</tabbox>
expected_value_and_variance_properties.1759228571.txt.gz · Last modified: by hkimscil

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