Question

In: Statistics and Probability

A health statistics agency in a certain country tracks the number of adults who have health...

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.)

_______

Solutions

Expert Solution

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


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