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Consider the data set given in the accompanying table. Complete parts (a) through (d).

Click the icon to view the data table.

A.

Y1

Y2

Marginal

distribution

(b) Construct a relative frequency marginal distribution.

Relative Frequency

Y₁

Y2

0.8-

0.6-

20

30

0.4-

0.2-

0-

Y₁

Y2

Total

50

25

15

40

¶││▬▬▬▬▬▬

X₁

Relative frequency

marginal distribution

(Round to three decimal places as needed.)

(c) Construct a conditional distribution by x.

20

30

30

50

X₁

1

80

X2

25

15

X2

75

95

1

170

X3

30

50

(d) Draw a bar graph of the conditional distribution found in part (c). Let the blue (left) bars represent the conditional distribution of y₁ and let the red (right) bars represent the conditional distribution of y2. Choose the correct graph below.

X3

1

Relative frequency

marginal distribution

1

Relative Frequency

B.

1-

0.8-

0.6-

0.4-

NO

0.2-

+

Q

Relative Frequency

C.

1

0.8

0.6-

0.4-

0.2-

▬▬▬▬▬▬

+

Q