A frequency distribution is shown below. Complete parts(a) and(b).

The number of televisions per household in a small town

Televisions

0

1

2

3

Households

27

440

728

1409

(a) Use the frequency distribution to construct a probability distribution.

x

P(x)

0

nothing

1

nothing

2

nothing

3

nothing

(Round to three decimal places asneeded.)

(b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below.

A.

0

1

2

3

0.1

0.2

0.3

0.4

0.5

0.6

#ofTelevisions

P(x)

x

A histogram has a horizontal x-axis labeled "Number of Televisions" from 0 to 3 in increments of 1 and a vertical P(x)-axis labeled from 0 to 0.6 in increments of 0.1. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the number of televisions is listed first and the approximate height is listed second: 0, 0.01; 1, 0.17; 2, 0.28; 3, 0.54.

B.

0

1

2

3

0.1

0.2

0.3

0.4

0.5

0.6

#ofTelevisions

P(x)

x

A histogram has a horizontal x-axis labeled "Number of Televisions" from 0 to 3 in increments of 1 and a vertical P(x)-axis labeled from 0 to 0.6 in increments of 0.1. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the number of televisions is listed first and the approximate height is listed second: 0, 0.01; 1, 0.28; 2, 0.54; 3, 0.17.

C.

0

1

2

3

0.1

0.2

0.3

0.4

0.5

0.6

#ofTelevisions

P(x)

x

A histogram has a horizontal x-axis labeled "Number of Televisions" from 0 to 3 in increments of 1 and a vertical P(x)-axis labeled from 0 to 0.6 in increments of 0.1. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the number of televisions is listed first and the approximate height is listed second: 0, 0.54; 1, 0.28; 2, 0.17; 3, 0.01.

Describe thehistogram's shape. Choose the correct answer below.

symmetric

skewed left

skewed right

Click to select your answer(s).