Reference no: EM131369603
In problem 2-31, are the events "hospitalization" and "the claim being from the Midwest" independent of each other?
Problem 2-31
The following table gives numbers of claims at a large insurance company by kind and by geographic region.
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East
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South
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Midwest
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West
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Hospitalization
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75
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128
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29
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52
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Physician's visit
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233
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514
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104
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251
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Outpatient treatment
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100
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326
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65
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99
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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)?
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