Q31. - Algebra 1

Question

A local cable provider asked its subscribers how many television sets they had in their homes. The results of their survey are shown in the probability distribution.

$x=$Number of televisions	probability
1	0.18
2	0.36
3	0.34
4	0.08
$5+$	0.04

 

Show that the distribution is valid.

Step-by-Step Solution

Answer

The distribution is valid.

Step 1. Define survey.

A survey is an investigation about the characteristics of a given population by means of collecting data from a sample of that population and estimating their characteristics through the systematic use of statistical methodology.

Step 2. Define the meaning of probability.

The probability is a measure of the likelihood of an event to occur.

Step 3. Show that the given distribution is valid.

Observe the given table.

Notice, that for each x, the probability is greater than or equal to 0 and less than or equal to $0.18+0.36+0.34+0.08+0.04=1$.

So, the sum of the probabilities is 1.

Hence, the distribution is valid.