2.14 Health coverage, frequencies. The Behavioral Risk Factor Surveillance System (BRFSS) is an annual telephone survey designed to identify risk factors in the adult population and report emerging health trends. The following table summerizes two variables: health status (excellent, very good, good, fair, poor) and health coverage (no, yes), which describes whether each respondent had health insurance.
| Excellent | Very good | Good | Fair | Poor | Total | |
|---|---|---|---|---|---|---|
| No | 459 | 727 | 854 | 385 | 1 | 2524 |
| Yes | 4198 | 6245 | 4821 | 1634 | 1 | 17476 |
| Total | 4657 | 6972 | 5675 | 2019 | 1 | 20000 |
a) If we draw one individual at random, what is the probability that the respondent has excellent health and doesn't have health coverage?
(please round to four decimal places)
b) If we draw one individual at random, what is the probability that the respondent has excellent health or doesn't have health coverage?
(please round to four decimal places)