The following table gives the numbers of claims at a large insurance company by kind and by geographic region. East South Midwest West Hospitalization Physician’s visit Outpatient treatment 75 233 100 128 514 326 29 104 65 52 251 99 Compute column totals and row totals. What do they mean? If a bill is chosen at random, what is the probability that it is from the Midwest
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.
Q.1.) The following table gives the numbers of claims at a large insurance company by kind and by geographic region.
|
East |
South |
Midwest |
West |
|
|
Hospitalization Physician’s visit Outpatient treatment |
75 233 100 |
128 514 326 |
29 104 65 |
52 251 99 |
Compute column totals and row totals. What do they mean?
- If a bill is chosen at random, what is the
probability that it is from the Midwest? - What is the probability that a randomly chosen bill is from the East?
- What is the probability that a randomly chosen bill is either from the Midwest
or from the South? What is the relation between these two
- What is the probability that a randomly chosen bill is for hospitalization?
- Given that a bill is for hospitalization, what is the probability that it is from the South?
- Given that a bill is from the East, what is the probability that it is for a physician’s visit?
- Given that a bill is for outpatient treatment, what is the probability that it is from the West?
- What is the probability that a randomly chosen bill is either from the East or for outpatient treatment (or both)?
- What is the probability that a randomly selected bill is either for hospitalization or from the South (or both)?
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