Question

Looking at the United States population in 1993, the probability than an adult between the ages...

Looking at the United States population in 1993, the probability than an adult between the ages of 45 and 64 does not have health insurance coverage of any kind is 0.1.

1. Suppose that you randomly select a 47-year-old woman and an unrelated 59- year-old man from this population (Note: suppose that the event of the woman having or not health insurance is independent of the men). What is the probability that both individuals are uninsured? Which answer is correct? There might be slight rounding differences. Please provide an explanation.

a. 0.187

b. 0.567

c. 0.908

d. 0.015

2. What is the probability that both individuals have health insurance coverage? What is the probability that both individuals are uninsured? Which answer is correct? There might be slight rounding differences. Please provide an explanation.

a. 0.607

b. 0.304

c. 0.769

d. 0.405

3. If five unrelated adults between the ages of 45 and 64 are chosen from the population, what is the probability that all five are uninsured? What is the probability that both individuals are uninsured? Which answer is correct? There might be slight rounding differences. Please provide an explanation.

a. 5.6 x 10-5

b. 1.3 x 10-5

c. 2.8 x 10-5

d. 7.8 x 10-5

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