2.18 Health coverage, relative 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 displays the distribution of health status
of respondents to this survey (excellent, very good, good, fair, poor) conditional on whether or not
they have health insurance.
(please round any numerical answers to 4 decimal places)
| Excellent | Very Good | Good | Fair | Poor | Total | |
|---|---|---|---|---|---|---|
| No Coverage | 0.023 | 0.0364 | 0.0427 | 0.0192 | 0.005 | 0.1262 |
| Coverage | 0.2099 | 0.3123 | 0.241 | 0.0817 | 0.0289 | 0.8738 |
| Total | 0.2329 | 0.3486 | 0.2838 | 0.1009 | 0.0338 | 1 |
a) Are being in excellent health and having health coverage mutually exclusive?
Explain your reasoning:
b) What is the probability that a randomly chosen individual has excellent health?
c) What is the probability that a randomly chosen individual has excellent health given that he has health coverage?
d) What is the probability that a randomly chosen individual has excellent health given that he doesn't have health coverage?
e) Does having excellent health and having health coverage appear to be independent?
Explain your reasoning: