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)?