A desigualdade de Bienaymé–Chebyschev afirma que P ( | X − E ( X ) | ≥ k σ ) ≤ 1 k 2 >>> e mostra que a probabilidade de X desviar–se de E ( X ) ao longo de k desvios padrões é menor ou igual a 1 k 2 >>> . [ 38 ] Exemplo de amostras de duas populações com médias iguais e desvios padrões diferentes. A população representada em vermelho tem média 100 e desvio padrão 10. A população representada em azul tem média 100 e desvio padrão 50. L ⋅ ( P − M ) = 0 ( r , r , r ) ⋅ ( x 1 − l , x 2 − l , x 3 − l ) = 0 r ∗ ( x 1 − l + x 2 − l + x 3 − l ) = 0 r ∗ ( ∑ i x i − 3 l ) = 0 ∑ i x i − 3 l = 0 1 3 ∑ i x i = l x ¯ = l L\cdot (P-M)&=0\\(r,r,r)\cdot (x_-l,x_-l,x_-l)&=0\\r*(x_-l+x_-l+x_-l)&=0\\r*(\sum \limits _x_-3l)&=0\\\sum \limits _x_-3l&=0\\ \sum \limits _x_&=l\\ >&=l\end>> Porcentagem dentro p versus z z versus porcentagem dentro p Intervalo de confiança Proporção dentro Proporção fora Porcentagem Porcentagem Fração 0 , 674490 σ 7001500000000000000♠ 50 % 7001500000000000000♠ 50 % 1 2 >> 0 , 994458 σ 68% 32% 1 3 , 125 >> 1 σ 68,2689492% 31,7310508% 1 3 , 1514872 >> 1 , 281552 σ 80% 20% 1 5 >> 1 , 644854 σ 90% 10% 1 10 >> 1 , 959964 σ 95% 5% 1 20 >> 2 σ 95,4499736% 4,5500264% 1 21 , 977895 >> 2 , 575829 σ 99% 1% 1 100 >> 3 σ 99,7300204% 0,2699796% 1 370 , 398 >> 3 , 290527 σ 99,9% 0,1% 1 1000 >> 3 , 890592 σ 99,99% 0,01% 1 10000 >> 4 σ 99,993666% 0,006334% 1 15787 >> 4 , 417173 σ 99,999% 0,001% 1 100000 >> 4 , 5 σ 99,9993204653751% 0,0006795346249% 3 , 4 1000000 (em cada lado da média) > >> 4 , 891638 σ 7001999999000000000♠ 99.9999 % 0,0001% 1 1000000 >> 5 σ 99,9999426697% 0,0000573303% 1 1744278 >> 5 , 326724 σ 99,99999% 0,00001% 1 10000000 >> 5 , 730729 σ 99,999999% 0,000001% 1 100000000 >> 6 σ 99,9999998027% 0,0000001973% 1 506797346 >> 6 , 109410 σ 99,9999999% 0,0000001% 1 1000000000 >> 6 , 466951 σ 99,99999999% 0,00000001% 1 10000000000 >> 6 , 806502 σ 99,999999999% 0,000000001% 1 100000000000 >> 7 σ 99,9999999997440% 0,000000000256% 1 390682215445 >> Para um conjunto de dados finito, o desvio padrão é calculado a partir da raiz quadrada da média dos desvios entre os valores e a média dos valores dos dados elevado ao quadrado. [ 51 ] Estimadores Editar. The preflop 4bet taxas de registro e emolumentos sizing that I recommend is 2.2x.
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