The following table gives numbers of claims at a large insurance company by kind and by geographic region.

Compute column totals and row totals. What do they mean?
a. If a bill is chosen at random, what is the probability that it is from the Midwest?
b. What is the probability that a randomly chosen bill is from the East?
c. 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 events?
d. What is the probability that a randomly chosen bill is for hospitalization?
e. Given that a bill is for hospitalization, what is the probability that it is from the South?
f. Given that a bill is from the East, what is the probability that it is for a physician's visit?
g. Given that a bill is for outpatient treatment, what is the probability that it is from the West?
h. What is the probability that a randomly chosen bill is either from the East or for outpatient treatment (or both)?
i. What is the probability that a randomly selected bill is either for hospitalization or from the South (or both)?

Transcribed Image Text:

Hospitalization Physician's visit Outpatient treatment East 75 233 100 South 128 514 326 Midwest West 52 251 29 104 65