Banaketa binomial: berrikuspenen arteko aldeak

Ezabatutako edukia Gehitutako edukia
Joxemai (eztabaida | ekarpenak)
Joxemai (eztabaida | ekarpenak)
21. lerroa:
:<math>
\begin{align}
P(X = 3;84,1/6) & = P[(2 \cap 2 \cap 2 \cap \overline{2}) \cup (2 \cap 2 \cap \overline{2}) \cap 2) \cup (2 \cap \overline{2}) \cap 2 \cap 2) \cup (\overline{2}) \cap 2 \cap 2 \cap 2)]\\
& = \Bigg(\frac16 \times \frac16 \times \frac16 \times \frac56\Bigg) + \Bigg(\frac16 \times \frac16 \times \frac56 \times \frac16\Bigg) + \Bigg(\frac16 \times \frac56 \times \frac16 \times \frac16\Bigg) + \Bigg(\frac56 \times \frac16 \times \frac16 \times \frac16\Bigg)\\
& = 4 \times \Bigg(\frac16 \times \frac16 \times \frac16 \times \frac56\Bigg)=\frac{4!}{3!1!}\Bigg(\frac{1}{6}\Bigg)^3\Bigg(\frac{5}{6}\Bigg)^1=0.0154\\