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When women turn 40, their physicians typically remind them that it is time to undergo mammography screening for breast cancer. The data in the following table are based on 100,000 U.S. women, ages 40 to 50, who participated in mammography screening. Assume the sample is representative of this population and note that medical tests can be positive or negative, regardless of whether or not a patient has the condition. Positive Mammogram Negative Mammogram Breast Cancer 720 80 No Breast Cancer 6944 92,256 Answer questions 1-8 and compare your answers with your group. For a woman, age 40-50, selected at random, find the probability that she: 1. has breast cancer? does not have breast cancer? 2. has a positive mammogram? has a negative mammogram? 3. has a positive mammogram, given that she has breast cancer? This is known as the sensitivity of the test. 4. has a negative mammogram, given that she does not have breast cancer? This is known as the specificity of the test. 5. has breast cancer given that she has a positive mammogram? This is the positive-predictive value of the test. 6. does not have breast cancer, given that she has a negative mammogram? This is called the negative-predictive value of the test.

When women turn 40, their physicians typically remind them that it is time to undergo mammography screening for breast cancer. The data in the following table are based on 100,000 U.S. women, ages 40 to 50, who participated in mammography screening. Assume the sample is representative of this population and note that medical tests can be positive or negative, regardless of whether or not a patient has the condition. Positive Mammogram Negative Mammogram Breast Cancer 720 80 No Breast Cancer 6944 92,256 Answer questions 1-8 and compare your answers with your group. For a woman, age 40-50, selected at random, find the probability that she: 1. has breast cancer? does not have breast cancer? 2. has a positive mammogram? has a negative mammogram? 3. has a positive mammogram, given that she has breast cancer? This is known as the sensitivity of the test. 4. has a negative mammogram, given that she does not have breast cancer? This is known as the specificity of the test. 5. has breast cancer given that she has a positive mammogram? This is the positive-predictive value of the test. 6. does not have breast cancer, given that she has a negative mammogram? This is called the negative-predictive value of the test.

A First Course in Probability (10th Edition)
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...
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When women turn 40, their physicians typically remind them that it is time to undergo mammography screening for breast cancer. The data in the following table are based on 100,000 U.S. women, ages 40 to 50, who participated in mammography screening. Assume the sample is representative of this population and note that medical tests can be positive or negative, regardless of whether or not a patient has the condition. Positive Mammogram Negative Mammogram Breast Cancer 720 80 No Breast Cancer 6944 92,256 Answer questions 1-8 and compare your answers with your group. For a woman, age 40-50, selected at random, find the probability that she: 1. has breast cancer? does not have breast cancer? 2. has a positive mammogram? has a negative mammogram? 3. has a positive mammogram, given that she has breast cancer? This is known as the sensitivity of the test. 4. has a negative mammogram, given that she does not have breast cancer? This is known as the specificity of the test. 5. has breast cancer given that she has a positive mammogram? This is the positive-predictive value of the test. 6. does not have breast cancer, given that she has a negative mammogram? This is called the negative-predictive value of the test. 7. has a positive mammogram, given that she does not have breast cancer? This is known as the false-positive rate. 8. has a negative mammogram, given that she has breast cancer? This is known as the false-negative rate.
Transcribed Image Text:When women turn 40, their physicians typically remind them that it is time to undergo mammography screening for breast cancer. The data in the following table are based on 100,000 U.S. women, ages 40 to 50, who participated in mammography screening. Assume the sample is representative of this population and note that medical tests can be positive or negative, regardless of whether or not a patient has the condition. Positive Mammogram Negative Mammogram Breast Cancer 720 80 No Breast Cancer 6944 92,256 Answer questions 1-8 and compare your answers with your group. For a woman, age 40-50, selected at random, find the probability that she: 1. has breast cancer? does not have breast cancer? 2. has a positive mammogram? has a negative mammogram? 3. has a positive mammogram, given that she has breast cancer? This is known as the sensitivity of the test. 4. has a negative mammogram, given that she does not have breast cancer? This is known as the specificity of the test. 5. has breast cancer given that she has a positive mammogram? This is the positive-predictive value of the test. 6. does not have breast cancer, given that she has a negative mammogram? This is called the negative-predictive value of the test. 7. has a positive mammogram, given that she does not have breast cancer? This is known as the false-positive rate. 8. has a negative mammogram, given that she has breast cancer? This is known as the false-negative rate.
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