30 patients had knee surgery, 20 had gastric surgery, and 5 had heart surgery. They were asked whether they were satisfied overall with their medical care. 24 knee surgery patients, 15 gastric surgery patients, and 3 heart surgery patients answered that they were satisfied overall. And yes, they all survived and all answered the survey. What is the probability that a randomly satisfied patient in this sample was one who had knee surgery? Think P(Knee given satisfied). a. 42/55 b. None of the other answers is correct. c. 4/5 (simplified) d. 4/7 e. 6/11 (simplified)
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.
30 patients had knee surgery, 20 had gastric surgery, and 5 had heart surgery. They were asked whether they were satisfied overall with their medical care. 24 knee surgery patients, 15 gastric surgery patients, and 3 heart surgery patients answered that they were satisfied overall. And yes, they all survived and all answered the survey.
What is the probability that a randomly satisfied patient in this sample was one who had knee surgery? Think P(Knee given satisfied).
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