Question

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: 25, 440, 721, 1401

(a) use the frequency distribution to construct a probability distribution.
x | p(x)
0 |
1 |
2 |
3 |
(round to three decimal places as needed.)

Explanation:

Calculate the total number of households

$$ N = 25 + 440 + 721 + 1401 = 2587 $$

Calculate the probability for each value of x

$$
LATEXBLOCK0
$$

Answer:

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

x          P(x)
0 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <blank>0.010</blank>
1 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <blank>0.170</blank>
2 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <blank>0.279</blank>
3 &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; <blank>0.542</blank>