A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the agency, the uninsured rates in a recent year are as follows: 5.3% of those under the age of 18, 12.6% of those ages 18–64, and 1.4% of those 65 and older do not have health insurance. Suppose 22.3% of people in the county are under age 18, and 62.1% are ages 18–64. (a)What is the probability that a randomly selected person in this country is 65 or older? (b)Given that a person in this country is uninsured, what is the probability that the person is 65 or older? (Round your answer to three decimal places.)

Question
Asked Oct 20, 2019
A health statistics agency in a certain country tracks the number of adults who have health insurance. Suppose according to the agency, the uninsured rates in a recent year are as follows: 5.3% of those under the age of 18, 12.6% of those ages 18–64, and 1.4% of those 65 and older do not have health insurance. Suppose 22.3% of people in the county are under age 18, and 62.1% are ages 18–64.
 
(a)What is the probability that a randomly selected person in this country is 65 or older?
 
(b)Given that a person in this country is uninsured, what is the probability that the person is 65 or older? (Round your answer to three decimal places.)
 
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Expert Answer

Step 1

a.

 

The probability that a randomly selected person in this country is 65 or older is 0.1601 and it is obtained below:

 

From the given information, the age groups are under 18, 18-64 and above 65. The percentage of people under 18 is 22.3%, the percentage of people...

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