A hospital is examining a new detection kit for pancreatic cancer. The results of an early clinical trial show that the kit yields a positive result for 98% of patients that have pancreatic cancer. Furthermore, when tested on healthy individuals, the kit yields a negative result in 97% of cases. Suppose pancreatic cancer has an incidence rate of 1% in the population. If the kit yields a positive result for a person, what is the probability that he/she actually has pancreatic 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.
A hospital is examining a new detection kit for pancreatic cancer. The results of an early clinical trial show that the kit yields a positive result for 98% of patients that have pancreatic cancer. Furthermore, when tested on healthy individuals, the kit yields a negative result in 97% of cases. Suppose pancreatic cancer has an incidence rate of 1% in the population. If the kit yields a positive result for a person, what is the probability that he/she actually has pancreatic cancer?
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