Fundamentals of Biostatistics
8th Edition
ISBN: 9781305268920
Author: Bernard Rosner
Publisher: Cengage Learning
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Chapter 3.6, Problem A.4RE
What is the addition law of probability?
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Solve the following LP problem using the Extreme Point Theorem:
Subject to:
Maximize Z-6+4y
2+y≤8
2x + y ≤10
2,y20
Solve it using the graphical method.
Guidelines for preparation for the teacher's
questions:
Understand the basics of Linear Programming (LP)
1. Know how to formulate an LP model.
2. Be able to identify decision variables, objective
functions, and constraints.
Be comfortable with graphical solutions
3. Know how to plot feasible regions and find extreme
points.
4. Understand how constraints affect the solution space.
Understand the Extreme Point Theorem
5. Know why solutions always occur at extreme points.
6. Be able to explain how optimization changes with
different constraints.
Think about real-world implications
7. Consider how removing or modifying constraints
affects the solution.
8. Be prepared to explain why LP problems are used in
business, economics, and operations research.
ged the variance for group 1) Different groups
of male stalk-eyed flies were raised on different diets: a high nutrient corn diet vs. a
low nutrient cotton wool diet. Investigators wanted to see if diet quality influenced
eye-stalk length. They obtained the following data:
d
Diet
Sample Mean Eye-stalk Length
Variance in Eye-stalk
d
size, n
(mm)
Length (mm²)
Corn (group 1)
21
2.05
0.0558
Cotton (group 2)
24
1.54
0.0812
=205-1.54-05T
a) Construct a 95% confidence interval for the difference in mean eye-stalk length
between the two diets (e.g., use group 1 - group 2).
An article in Business Week discussed the large spread between the federal funds rate and the average credit card rate. The table below is a frequency distribution of
the credit card rate charged by the top 100 issuers.
Credit Card Rates
Credit Card Rate
Frequency
18% -23%
19
17% -17.9%
16
16% -16.9%
31
15% -15.9%
26
14% -14.9%
Copy Data
8
Step 1 of 2: Calculate the average credit card rate charged by the top 100 issuers based on the frequency distribution. Round your answer to two decimal places.
Chapter 3 Solutions
Fundamentals of Biostatistics
Ch. 3.6 - What is the frequency definition of probability?Ch. 3.6 - What is the difference between independent and...Ch. 3.6 - What are mutually exclusive events?Ch. 3.6 - What is the addition law of probability?Ch. 3.6 - What is conditional probability? How does it...Ch. 3.6 - What is relative risk? How do you interpret it?Ch. 3.6 - Prob. B.1RECh. 3.6 - Suppose the rate of type II diabetes mellitus (DM)...Ch. 3.7 - What is the sensitivity and specificity of a...Ch. 3.7 - What are the PV+ and PV of a screening test? How...
Ch. 3.7 - Prob. C.3RECh. 3.7 - What is Bayes rule? How is it used?Ch. 3.7 - Prob. D.2RECh. 3.7 - Prob. D.3RECh. 3.7 - Prob. D.4RECh. 3.10 - Suppose that of 25 students in a class, 5 are...Ch. 3.10 - Suppose 50 HIV-positive men are identified, 5 of...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Consider a family with a mother, father, and two...Ch. 3 - Prob. 11PCh. 3 - Suppose an influenza epidemic strikes a city. In...Ch. 3 - Suppose there is a 20% chance each child will get...Ch. 3 - Suppose there is a 20% chance each child will get...Ch. 3 - Suppose there is a 20% chance each child will get...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Mental Health Estimates of the prevalence of...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Estimates of the prevalence of Alzheimers disease...Ch. 3 - Suppose a study of Alzheimers disease is proposed...Ch. 3 - Suppose a study of Alzheimers disease is proposed...Ch. 3 - Commonly used vaccines for influenza are trivalent...Ch. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Genetics Suppose that a disease is inherited via a...Ch. 3 - Genetics Suppose that a disease is inherited via a...Ch. 3 - Genetics Suppose that a disease is inherited via a...Ch. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Suppose that a disease is inherited via an...Ch. 3 - Suppose that a disease is inherited via an...Ch. 3 - Prob. 39PCh. 3 - Suppose that a disease is inherited via a...Ch. 3 - Suppose that a disease is inherited via a...Ch. 3 - Suppose that a disease is inherited via a...Ch. 3 - Suppose that a disease is inherited via a...Ch. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Obstetrics The following data are derived from the...Ch. 3 - Obstetrics The following data are derived from the...Ch. 3 - Obstetrics The following data are derived from the...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Suppose, alternatively, that if the father is a...Ch. 3 - Suppose, alternatively, that if the father is a...Ch. 3 - Prob. 57PCh. 3 - The familial aggregation of respiratory disease is...Ch. 3 - The familial aggregation of respiratory disease is...Ch. 3 - The familial aggregation of respiratory disease is...Ch. 3 - The familial aggregation of respiratory disease is...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Pulmonary Disease The familial aggregation of...Ch. 3 - Genetics, Obstetrics Precise quantification of...Ch. 3 - Precise quantification of smoking during pregnancy...Ch. 3 - Precise quantification of smoking during pregnancy...Ch. 3 - What is another name for this quantity? Suppose it...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Research into cigarette-smoking habits, smoking...Ch. 3 - Pulmonary Disease Research into cigarette-smoking...Ch. 3 - Pulmonary Disease Research into cigarette-smoking...Ch. 3 - Laboratory measures of cardiovascular reactivity...Ch. 3 - Laboratory measures of cardiovascular reactivity...Ch. 3 - Laboratory measures of cardiovascular reactivity...Ch. 3 - The data set in Table 3.12 is based on 214...Ch. 3 - The data set in Table 3.12 is based on 214...Ch. 3 - The data set in Table 3.12 is based on 214...Ch. 3 - A drug company is developing a new pregnancy-test...Ch. 3 - A drug company is developing a new pregnancy-test...Ch. 3 - A drug company is developing a new pregnancy-test...Ch. 3 - Gynecology A drug company is developing a new...Ch. 3 - The Chinese Mini-Mental Status Test (CMMS)...Ch. 3 - The Chinese Mini-Mental Status Test (CMMS)...Ch. 3 - Mental Health The Chinese Mini-Mental Status Test...Ch. 3 - Construct an ROC curve based on the table...Ch. 3 - Mental Health The Chinese Mini-Mental Status Test...Ch. 3 - Calculate the area under the ROC curve. Interpret...Ch. 3 - Demography A study based on data collected from...Ch. 3 - Prob. 94PCh. 3 - Demography A study based on data collected from...Ch. 3 - Demography A study based on data collected from...Ch. 3 - Prob. 97PCh. 3 - The 4 allele of the gene encoding apolipoprotein E...Ch. 3 - Mental Health The 4 allele of the gene encoding...Ch. 3 - Mental Health The 4 allele of the gene encoding...Ch. 3 - Cardiovascular Disease A fascinating subject of...Ch. 3 - Cardiovascular Disease A fascinating subject of...Ch. 3 - Are these proportions prevalence rates, incidence...Ch. 3 - Prob. 104PCh. 3 - A dominantly inherited genetic disease is...Ch. 3 - A dominantly inherited genetic disease is...Ch. 3 - Prob. 107PCh. 3 - Infectious Disease, Cardiovascular Disease A...Ch. 3 - Infectious Disease, Cardiovascular Disease A...Ch. 3 - Infectious Disease, Cardiovascular Disease A...Ch. 3 - Prob. 114PCh. 3 - Genetics Suppose a birth defect has a recessive...Ch. 3 - A further study finds that after 10 generations...Ch. 3 - A further study finds that after 10 generations...Ch. 3 - Orthopedics Piriformis syndrome is a pelvic...Ch. 3 - Prob. 119PCh. 3 - Orthopedics Piriformis syndrome is a pelvic...Ch. 3 - Prob. 121PCh. 3 - Cancer Breast cancer is considered largely a...Ch. 3 - Cancer Breast cancer is considered largely a...Ch. 3 - Cancer Breast cancer is considered largely a...Ch. 3 - Prob. 125PCh. 3 - Cardiovascular Disease Mayo Clinic investigators...Ch. 3 - Prob. 127PCh. 3 - Prob. 128PCh. 3 - Prob. 129PCh. 3 - Prob. 130PCh. 3 - Prob. 131PCh. 3 - Prob. 132PCh. 3 - Radiology Mobile displays have the potential to...Ch. 3 - Radiology Mobile displays have the potential to...Ch. 3 - Prob. 135PCh. 3 - Prob. 136PCh. 3 - Prob. 137PCh. 3 - Cardiovascular Disease The ankle-arm...Ch. 3 - Cardiovascular Disease The ankle-arm...Ch. 3 - Cardiovascular Disease The ankle-arm...Ch. 3 - Prob. 141PCh. 3 - Prob. 142PCh. 3 - Prob. 143PCh. 3 - Obstetrics, Health Promotion A study was performed...
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