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Chapter 7: Problem 23

According to a survey of 176 retailers, \(46 \%\) of them use electronic tags as protection against shoplifting and employee theft. If one of these retailers is selected at random, what is the probability that he or she uses electronic tags as antitheft devices?

Short Answer

Expert verified
The probability that a randomly selected retailer uses electronic tags as antitheft devices is approximately 0.46 or 46%.

Step by step solution

01

Determine the number of retailers using electronic tags

First, we have to find the actual number of retailers using electronic tags by multiplying the given percentage by the total number of retailers surveyed. In this case, the percentage is \(46\%\) and the total number of retailers is 176. Number of retailers using electronic tags: \(\frac{46}{100}\) * 176
02

Calculate the number of retailers using electronic tags

Now, we will calculate the actual number of retailers using electronic tags: Number of retailers using electronic tags: \(\frac{46}{100}\) * 176 = 80.96 Since we cannot have a fraction of a retailer, we can round this number to the nearest whole number. In this case, it would be 81.
03

Calculate the probability of a randomly selected retailer using electronic tags

To find the probability, we will divide the number of retailers using electronic tags by the total number of retailers surveyed. Probability: \(\frac{\text{Number of retailers using electronic tags}}{\text{Total number of retailers surveyed}}\) Probability: \(\frac{81}{176}\)
04

Simplify the probability

Now we will simplify the probability: Probability: \(\frac{81}{176}\) 鈮� 0.46 The probability that a randomly selected retailer uses electronic tags as antitheft devices is approximately 0.46 or 46%.

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Most popular questions from this chapter

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