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The following data represent the...

The following data represent the number of games played in each series of an annual tournament from 19211921 to 20012001. Complete parts (a) through (d) below.

x (games played)

4

5

6

7

Frequency

1919

1111

2121

2929

(a) Construct a discrete probability distribution for the random variable x.

x (games played)

P(x)

4

nothing

5

nothing

6

nothing

7

nothing

(Round to four decimal places as needed.)

(b) Graph the discrete probability distribution. Choose the correct graph below.

A.

4

5

6

7

0

0.5

x

P(x)A histogram with a horizontal x-axis labeled from 3 to 8 in intervals of 1 and a vertical axis labeled "P(x)" from 0 to 0.5 in intervals of 0.1 has four vertical lines positioned on the horizontal axis tick marks. The approximate heights of the vertical lines are as follows, with the horizontal coordinate listed first and the line height listed second: 4, 0.14; 5, 0.04; 6, 0.16; 7, 0.26.

B.

4

5

6

7

0

0.5

x

P(x)A histogram with a horizontal x-axis labeled from 3 to 8 in intervals of 1 and a vertical axis labeled "P(x)" from 0 to 0.5 in intervals of 0.1 has four vertical lines positioned on the horizontal axis tick marks. The approximate heights of the vertical lines are as follows, with the horizontal coordinate listed first and the line height listed second: 4, 0.24; 5, 0.14; 6, 0.26; 7, 0.36.

C.

4

5

6

7

0

0.5

x

P(x)A histogram with a horizontal x-axis labeled from 3 to 8 in intervals of 1 and a vertical axis labeled "P(x)" from 0 to 0.5 in intervals of 0.1 has four vertical lines positioned on the horizontal axis tick marks. The approximate heights of the vertical line are as follows, with the horizontal coordinate listed first and the line height listed second: 4, 0.34; 5, 0.24; 6, 0.36; 7, 0.46.

D.

4

5

6

7

0

0.5

x

P(x)

x (games played)

4

5

6

7

Frequency

1919

1111

2121

2929

(a) Construct a discrete probability distribution for the random variable x.

x (games played)

P(x)

4

nothing

5

nothing

6

nothing

7

nothing

(Round to four decimal places as needed.)

(b) Graph the discrete probability distribution. Choose the correct graph below.

A.

4

5

6

7

0

0.5

x

P(x)A histogram with a horizontal x-axis labeled from 3 to 8 in intervals of 1 and a vertical axis labeled "P(x)" from 0 to 0.5 in intervals of 0.1 has four vertical lines positioned on the horizontal axis tick marks. The approximate heights of the vertical lines are as follows, with the horizontal coordinate listed first and the line height listed second: 4, 0.14; 5, 0.04; 6, 0.16; 7, 0.26.

B.

4

5

6

7

0

0.5

x

P(x)A histogram with a horizontal x-axis labeled from 3 to 8 in intervals of 1 and a vertical axis labeled "P(x)" from 0 to 0.5 in intervals of 0.1 has four vertical lines positioned on the horizontal axis tick marks. The approximate heights of the vertical lines are as follows, with the horizontal coordinate listed first and the line height listed second: 4, 0.24; 5, 0.14; 6, 0.26; 7, 0.36.

C.

4

5

6

7

0

0.5

x

P(x)A histogram with a horizontal x-axis labeled from 3 to 8 in intervals of 1 and a vertical axis labeled "P(x)" from 0 to 0.5 in intervals of 0.1 has four vertical lines positioned on the horizontal axis tick marks. The approximate heights of the vertical line are as follows, with the horizontal coordinate listed first and the line height listed second: 4, 0.34; 5, 0.24; 6, 0.36; 7, 0.46.

D.

4

5

6

7

0

0.5

x

P(x)

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