Table 10.4 Mammography Screening on 100,000 U.S. Women, Ages 40 to 50 720 + 6944 = 7664 Breast Cancer No Breast Cancer women have positive mammograms. Positive Mammogram 720 6944 Negative Mammogram 80 92,256 80 + 92,256 = 92,336 women have negative 720 + 80 = 800 6944 + 92,256 = 99,200 mammograms. %3D women have breast cancer. Women do not have breast cancer.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
When women turn 40, their gynecologists typically remind them that it is time to undergo mammography screening for breast cancer. The data in the given table are based on 100,000 U.S. women, ages 40 to 49, who participated in mammography screening.
Solve, a. Use the table to find the
b. Among women without breast cancer, find the probability of a positive mammogram.
c. Among women with positive mammograms, find the probability of not having breast cancer.
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