Q32. - 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

 

If a household is selected at random, what is the probability that it has fewer than 4 televisions?

Step-by-Step Solution

Answer

The required probability is 0.88.

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. Determine the probability for having fewer than 4 televisions.

Observe the given table.

The probability for 1 television $=0.18$

The probability for 2 televisions $=0.36$

The probability for 3 televisions $=0.34$

Hence, the probability for having fewer than 4 televisions $=0.18+0.36+0.34=0.88$

 

Therefore, the required probability is 0.88.