In: Statistics and Probability
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 1.3% of those 65 and older do not have health insurance. Suppose 22.6% 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.)
_______
a)
probability that a randomly selected person in this country is 65 or older =1-0.226-0.621 =0.153
b)
P(65 or older |uninsured )=P65 or older and uninsured )/P(uninsured)
=0.013*0.153/(0.053*0.226+0.126*0.621+0.013*0.153)=0.022