In a certain population of women 4 percent have had breast cancer (BC), 20 percent are...
In a certain population of women 4 percent have had breast cancer (BC), 20 percent are smokers (S), and 3 percent are smokers and have had breast cancer (BC ∩S). A woman is selected at random from the population. What is the probability: P(BC ∪S)? [i.e. the probability that she has had breast cancer or smokes or both?
Homework Answers
Using addition rule,
P(A or B) = P(A) + P(B) - P(A and B)
P(BC 
S) = P(BC) + P(S)
- P(BC 
S)
= 0.04 + 0.20 - 0.03
= 0.21
Add Answer to:
In a certain population of women 4 percent have had breast
cancer (BC), 20 percent are...
1. The probability that a person selected at random from a population will exhibit the classic...
1. The probability that a person selected at random from a
population will exhibit the classic symptom of a certain disease is
0.2, and the probability that a person selected at random has the
disease is 0.23. The probability that a person who has the symptom
also has the disease is .18. A person selected at random from the
population does not have the symptom. What is the probability that
the person has the disease? 2. In a certain population...
Question 5. (20 pts.) 1. The probability that a person selected at random from a population...
Question 5. (20 pts.) 1. The probability that a person selected at random from a population will exhibit the classic symptom of a certain disease is 0.2, and the probability that a person selected at random has the disease is 0.23. The probability that a person who has the symptom also has the disease is .18. A person selected at random from the population does not have the symptom. What is the probability that the person has the disease? 2....
About 20 women in 80,000 have breast cancer. Suppose the mammogram detecting breast cancer when a...
About 20 women in 80,000 have breast cancer. Suppose the mammogram detecting breast cancer when a woman has breast cancer is 0.90 and the mammogram detecting breast cancer on a woman who does not have breast cancer is 0.01. If a woman has breast cancer, what is the probability that the mammogram will not detect breast cancer? If the mammogram shows breast cancer, what is the probability that she truly has breast cancer? If the mammogram shows a woman has...
Approximately 3% of women aged 40-50 have breast cancer. A woman with breast cancer has a...
Approximately 3% of women aged 40-50 have breast cancer. A woman with breast cancer has a 90% chance of positive test from a mammogram, while a woman without breast cancer has a 2% chance of a positice result. What is the probability that a woman has breast cancer given that she just had a positive test?
Of all 40-year-old women, 8% have breast cancer. If a woman has breast cancer, a mammogram...
Of all 40-year-old women, 8% have breast cancer. If a woman has breast cancer, a mammogram with give a positive indication for cancer 80% of the time. If a woman does not have breast cancer, a mammogram will give a positive indication for cancer 2% of the time. If a 40-year-old woman’s mammogram gives a positive indication for a cancer, what is the probability that she has cancer?
In the general population, one woman in eight will develop breast cancer. Research has shown that...
In the general population, one woman in eight will develop breast cancer. Research has shown that 1 woman in 600 carries a mutation of the BRCA gene. Seven out of 10 women with this mutation develop breast cancer. Find the probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene. (Round to one decimal place as needed.)
B) Epidemiologists claim that the probability of breast cancer among Caucasian women in their mid-50s is...
B) Epidemiologists claim that the probability of
breast cancer among
Caucasian women in their mid-50s is 0.005. An established test
identified
people who had breast cancer and those that were healthy. A
new
mammography test in clinical trials has a probability of 0.85 for
detecting
cancer correctly. In women without breast cancer, it has a chance
of 0.925
for a negative result. If a 55-year-old Caucasian woman tests
positive for
breast cancer, what is the probability that she, in fact,...
Suppose that the prevalence of breast cancer in a certain population of women is 0.30. Assume...
Suppose that the prevalence of breast cancer in a certain population of women is 0.30. Assume that the sensitivity of a mammogram to detect breast cancer is 0.83, and the specificity of a mammogram is 0.90. What is the predictive value positive for this test, in this population?
4. Breast cancer occurs most frequently among older women, Of all age groups, women in their...
4. Breast cancer occurs most frequently among older women, Of all age groups, women in their 60s have the highest rate of breast cancer. It is estimated that 3.7% of women in their 60s get breast cancer. Mammograms are X-ray images of the breast used to detect breast cancer. A mammogram can typically identify correctly 84.9% of cancer cases (sensitivity 84.9%) and 95.13% of cases without cancer (specificity = 95%). (This is exactly like problem #11) First write down the...
Breast cancer is the most common non-skin malignancy among women in the United States, and it...
Breast cancer is the most common non-skin malignancy among women in the United States, and it is the second leading cause of death from cancer among women (lung cancer ranks Örst). A mammogram is a diagnostic procedure designed to quickly detect breast cancer. Such a test can exhibit two kinds of errors: One error is known as a false positive: The test incorrectly indicates cancer in a healthy woman. The other error (which is more serious error in this situation)...
1. The probability that a person selected at random from a
population will exhibit the classic symptom of a certain disease is
0.2, and the probability that a person selected at random has the
disease is 0.23. The probability that a person who has the symptom
also has the disease is .18. A person selected at random from the
population does not have the symptom. What is the probability that
the person has the disease? 2. In a certain population...
Question 5. (20 pts.) 1. The probability that a person selected at random from a population will exhibit the classic symptom of a certain disease is 0.2, and the probability that a person selected at random has the disease is 0.23. The probability that a person who has the symptom also has the disease is .18. A person selected at random from the population does not have the symptom. What is the probability that the person has the disease? 2....
B) Epidemiologists claim that the probability of
breast cancer among
Caucasian women in their mid-50s is 0.005. An established test
identified
people who had breast cancer and those that were healthy. A
new
mammography test in clinical trials has a probability of 0.85 for
detecting
cancer correctly. In women without breast cancer, it has a chance
of 0.925
for a negative result. If a 55-year-old Caucasian woman tests
positive for
breast cancer, what is the probability that she, in fact,...
Suppose that the prevalence of breast cancer in a certain population of women is 0.30. Assume that the sensitivity of a mammogram to detect breast cancer is 0.83, and the specificity of a mammogram is 0.90. What is the predictive value positive for this test, in this population?
4. Breast cancer occurs most frequently among older women, Of all age groups, women in their 60s have the highest rate of breast cancer. It is estimated that 3.7% of women in their 60s get breast cancer. Mammograms are X-ray images of the breast used to detect breast cancer. A mammogram can typically identify correctly 84.9% of cancer cases (sensitivity 84.9%) and 95.13% of cases without cancer (specificity = 95%). (This is exactly like problem #11) First write down the...
Most questions answered within 3 hours.
-
An individual who has automobile insurance from a certain
company is randomly selected. Let Y be...
asked 4 minutes ago -
A 3330-kg spacecraft is in a circular orbit 2770 km above the
surface of Mars.
How...
asked 4 minutes ago -
Initial mean=6600 and median = 1500, after 2 data sets removed,
new mean = 1850 and...
asked 5 minutes ago -
The outcome X of an experiment has only two possible values, X=4
and X=5. Given that...
asked 5 minutes ago -
When UV light of wavelength 288 nm falls on a metal surface, the
maximum kinetic energy...
asked 16 minutes ago -
Your company has just brought in a new line of products... And
they are pieces of...
asked 19 minutes ago -
in three paragraphs or more discuss the role of the U.S.
Children’s Bureau in dealing with...
asked 18 minutes ago -
Place the following salts in order of increasing water
solubility:
i. Fe(OH)2 Ksp = 7.9 ×...
asked 22 minutes ago -
If inflation is increasing at 2.6 percent per year, and your
salary increases at the same...
asked 22 minutes ago -
An aspirin dose of 5.0mg per kg of body weight has been
prescribed to reduce the...
asked 28 minutes ago -
The AASB Conceptual Framework (2.12-2.19) refers to ‘faithful
representation’ as being necessary for financial information to...
asked 33 minutes ago -
A U.S. corporation with net receivables in euro could hedge by
_________________.
A. buying euro forward...
asked 35 minutes ago