The simple events 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)
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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 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)
What simple events are contained in A, the
A = {(C, C), (C, N), (N, N)}
A = {(C, C), (N, C), (N, N)}
A = {(C, N), (N, C)}
A = {(C, N), (N, C), (N, N)}
A = {(C, C), (C, N), (N, C)}
Calculate P(A).
P(A) =
(b)
What simple events are contained in B, the event that the two patients have different statuses with respect to coverage?
B = {(C, C), (C, N)}
B = {(C, C), (N, N)}
B = {(C, N), (N, C)}
B = {(C, N), (N, N)}
the empty set
Calculate P(B).
P(B) =
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
