Two hundred patients who had either hip surgery or knee surgery were asked whether they were satisfied or dissatisfied with the results of their surgery. The responses are given in the table below: Surgery Knee Hip Total Satisfied Dissatisfied Total 70 25 95 90 15 105 160 40 200 1. Use the table above to answer the following questions. Express your answers as REDUCED FRACTIONS a. What is the probability that a person had hip surgery, given that they were satisfied? b. What is the probability that a person was dissatisfied, given that they had knee surgery? C. What is the probability that a person had knee surgery, given that they were dissatisfied? d. What is the probability that a person was dissatisfied, given that they had hip surgery?

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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.