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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.

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.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 7CC
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PART 1. Conditional Probability (which is defined on page 281). Definition: Conditional Probability The conditional probability of F given E, read P(FIE), is the probability that F occurs, given that E is known to have occurred. P(E and F) N(E and F) P(F|E) = P(E) N(E) ACTIVITY: 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.
Transcribed Image Text:PART 1. Conditional Probability (which is defined on page 281). Definition: Conditional Probability The conditional probability of F given E, read P(FIE), is the probability that F occurs, given that E is known to have occurred. P(E and F) N(E and F) P(F|E) = P(E) N(E) ACTIVITY: 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.
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