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Chapter 12: Q32. (page 796)

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?

Short Answer

Expert verified

The required probability is 0.88.

Step by step solution

01

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.

02

Step 2. Define the meaning of probability.

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

03

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.

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