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2.6. EXERCISES 119 2.14 Heatth coverage, feegeocs The Behavioral Risk Factor Sur

ID: 3304457 • Letter: 2

Question

2.6. EXERCISES 119 2.14 Heatth coverage, feegeocs The Behavioral Risk Factor Surveillance System (BRFSS) is an annual telephone survey desigued to identity risk factors in the adult population and report emerging health trends. The following table summarizes two variables for the respondents: health status and health coverage, whichi describes whether each respondent had health insurance." Health Status Health-_No Coverage Yes Total ExcellentVery good Good Fair Poor Total 99 2.524 6,245 4,821 1,634 578 17.476 6972 5.675 2.019677 120,000 459 4.198 (a) If we draw oue individual at random, what is the probability that the respondent has excellent health and doesn't have health coverage? (b) If we draw one individual at random. what is the probability that the respondent has excellent health or doesn't have health coverage?

Explanation / Answer

a) Probability that the individual has excellent health and does not have health coverage

= Number of people with excellent health and no health coverage / Total number of people

= 459 / 20,000

= 0.02295

Therefore 0.02295 is the required probability here.

b) Probability that the individual drawn has excellent health or does not have health coverage

= Number of people with excellent health or no health coverage / Total number of people

= (2524 + 4657 - 459)/ 20000

= 0.3361

Therefore 0.3361 is the required probability here.