# Medical insurance statuscovered (C) or not covered (N)is determined for each individual arriving for treatment at a hospitals emergency room. Consider the chance experiment in which this determination is made for two randomly selected patients. The simple events for this chance experiment are O 1 = (C, C), meaning that the first patient selected was covered and the second patient

Chapter 6, Exercises #23

Medical insurance status—covered (C) or not covered (N)—is determined for each individual arriving for treatment at a hospital’s emergency room. Consider the chance experiment in which this determination is made for two randomly selected patients.

The simple events for this chance experiment are O1 = (C, C), meaning that the first patient selected was covered and the second patient selected was also covered, O2 = (C, N), O3 = (N, C), and O4 = (N, N). Suppose that probabilities are P(O1) = 0.81, P(O2) = 0.09, P(O3) = 0.09, and P(O4) = 0.01.

a. Define A as the event that at most one patient is covered.

i. What simple events are in the event A?

ii. Calculate P(A).

b. Define B as the event that the two patients have the same coverage status.

i. What simple events are in the event B?

ii. Calculate P(B).