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: 23, 443, 724, 1408

(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

$$ N = 23 + 443 + 724 + 1408 = 2598 $$

Calculate the probability for each value of x

$$
LATEXBLOCK0
$$

Verify the sum of probabilities

$$ \sum P(x) = 0.009 + 0.171 + 0.279 + 0.542 = 1.001 \approx 1 $$

Answer:

\(x\)	\(P(x)\)
1	0.171
2	0.279
3	0.542