The following table gives numbers of claims at a large insurance company by kind and by geographic region. Where midwest and hospitalization is independent to each other.                                         East  South  Midwest  West Hospitalization                  75     128       29         52 Physician’s visit                 233    514     104        251 Outpatient treatment       100    326       65         99 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

The following table gives numbers of claims at a large insurance company by kind and by geographic region. Where midwest and hospitalization is independent to each other.
                                        East  South  Midwest  West
Hospitalization                  75     128       29         52
Physician’s visit                 233    514     104        251
Outpatient treatment       100    326       65         99
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)?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON