1.In 2015, Texas led the nation in the percentage of people who lacked health insurance (21.6% of the population) [Ref:https://www.texmed.org/Template.aspx?id=42282]. It is known that, nationally, 5% of patients account for 50% of the costs of healthcare. These are the "high cost" patients

Assume* that:

Being a high cost patient and being uninsured are independent characteristics

Insured and uninsured people become "patients" at the same rate

The uninsured and high cost patients in Texas are evenly distributed across the state, and that high cost patients are evenly distributed across insured and uninsured patient populations a.What is the probability that a patient in a Texas healthcare facility will be a high cost patient who is uninsured?Show all work! (5 pts)

*[These arehugeand unrealistic assumptions, but let's assume them just for the purpose of this problem].

P (A^B) = P (A) x P (B)

= 0.216 x (0.05 x 0.5)

= 0.216 x 0.025

= 0.0054

Is this answer correct?