20a)

$1 - (\frac{1}{4} + \frac{2}{5} + \frac{1}{8} + \frac{1}{10}) = 1 - (\frac{20}{80} + \frac{36}{80} + \frac{10}{80} + \frac{8}{80}) = 1 - \frac{74}{80} = \frac{6}{80} = \frac{3}{40}$

b)

$1 - (0, 1 + 0, 375 + 0, 1 + 0, 1 + 0, 125) = 1 - (0, 3 + 0, 375 + 0, 125) = 1 - 0, 8 = 0, 2$

type: bar
labels: [0,1,2,3,4,5,6,7]
series:
  - title: P(X=k)
    data: [0.1,0.375,0.1,0.2,0.1,0.125,0,0]
tension: 0
width: 80%
labelColors: false
fill: true
beginAtZero: false
bestFit: false
bestFitTitle: undefined
bestFitNumber: 0

21)

1 = V2
2 = V3
3 = V1

B:S. 338 Nr. 1

1a)

	$B$	$\overset{―}{B}$
$A$	$0, 2$	$0, 15$	$0, 35$
$\overset{―}{A}$	$0, 25$	$0, 4$	$0, 65$
	$0, 45$	$0, 55$	$1$

b)

$P (A \cap \overset{―}{B}) = 0, 15$
$P (B) = 0, 55$
$P_{\overset{―}{A}} (B) = \frac{P (\overset{―}{A} \cap B)}{P (\overset{―}{A})} = \frac{0, 25}{0, 65}$

6a)

$F \hat{=}$ funktionstüchtig
$E \hat{=}$ erkannt

graph TD;

E --> F
not E --> F