A survey of professions had the results shown in the table. What is the probability that a person chosen at random from the survey respondents would work in health care? Round your answer to three decimal places.Retail 42Health Care 70Food 107Physical Labor 67Office Work 106Agriculture 54Group of answer choicesNot enough information to calculate.0.1576.3710.094
Question
A survey of professions had the results shown in the table. What is the probability that a person chosen at random from the survey respondents would work in health care? Round your answer to three decimal places.Retail 42Health Care 70Food 107Physical Labor 67Office Work 106Agriculture 54Group of answer choicesNot enough information to calculate.0.1576.3710.094
Solution
To calculate the probability that a person chosen at random from the survey respondents would work in health care, you need to divide the number of people working in health care by the total number of respondents.
First, let's find the total number of respondents. Add up all the numbers given:
Retail: 42 Health Care: 70 Food: 107 Physical Labor: 67 Office Work: 106 Agriculture: 54
Total = 42 + 70 + 107 + 67 + 106 + 54 = 446
Now, divide the number of people working in health care by the total number of respondents to find the probability:
Probability = Number in Health Care / Total Number of Respondents Probability = 70 / 446
Using a calculator, you find that this equals approximately 0.157. Therefore, the probability that a person chosen at random from the survey respondents would work in health care is approximately 0.157, or 15.7% when expressed as a percentage.
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