Question

The number of televisions per household in a small town

Televisions: 0, 1, 2, 3
Households: 26, 442, 1406, 729
(a) Use the frequency distribution to construct a probability distribution.
x | P(x)

Answer 1

To construct a probability distribution, divide the frequency of each number of televisions by the total number of households in the small town. The probability distribution is then displayed in a table, with x representing the number of televisions and P(x) representing the probability.

Step-by-step explanation:

To construct a probability distribution, we need to divide the frequency of each number of televisions by the total number of households. Let's calculate this:

1. For 0 televisions: P(0) = 26/2603 = 0.00999
2. For 1 television: P(1) = 442/2603 = 0.16997
3. For 2 televisions: P(2) = 1406/2603 = 0.5396
4. For 3 televisions: P(3) = 729/2603 = 0.28046

Therefore, the probability distribution is:

xP(x)00.0099910.1699720.539630.28046