Question

1. if P(A)=0.4P(A)=0.4, P(B)=0.55P(B)=0.55 and P(A∩B)=0.15P(A∩B)=0.15, calculate

1. P(Ac)P(Ac) :

0.6

0.8

0.55

0.45

2. P(A∩B)cP(A∩B)c

0.95

0.85

0.75

0.45

3. P(B/A)P(B/A)

0.57

0.38

0.75

0.45

4. P(A∪B)P(A∪B)

0.9

0.5

0.8

0.7

5. P(Ac∪B)P(Ac∪B)

0.95

0.55

0.85

0.75

2.The regression model Y = 1.78 + 0.56X has been estimated. Where (Y) is the level of consumption and (X) the income of the inhabitants of a city.

1. What consumption is predicted for someone who earns $ 37,000?

22.5

16.9

28.4

15.2

2. If the coefficient of determination of the problem is 0.74. The interpretation of this value is:

26% of income (X) is explained by consumption (Y)

26% of consumption (Y) is explained by income (X)

74% of income (X) is explained by consumption (Y)

74% of consumption (Y) is explained by income (X)

Answer 1