Of all 40-year-old women, 1% have breast cancer. If awoman has breast cancer, a mammogram will give a positiveindication for cancer 90% of the time. If a woman does nothave breast cancer, a mammogram will give a positiveindication for cancer 9% of the time. If a 40-year-oldwoman’s mammogram gives a positive indication for cancer,what is the probability that she has 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.
Of all 40-year-old women, 1% have breast cancer. If a
woman has breast cancer, a mammogram will give a positive
indication for cancer 90% of the time. If a woman does not
have breast cancer, a mammogram will give a positive
indication for cancer 9% of the time. If a 40-year-old
woman’s mammogram gives a positive indication for cancer,
what is the probability that she has cancer?
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