Approximately 7 out of every 10 patients who undergo heart valve replacement surgery have a successful procedure with no complications. In the past month, there are 16 heart valve replacement surgeries performed at a hospital. What is the probability that exactly half of the 16 surgeries were successful? What is the probability at most 13 surgeries were successful? How many surgeries are expected to be successful? What is the standard deviation of the success rate for this surgery in a sample of size 16? Using the Range Rule of Thumb, what is the approximate range of the number of surgeries one would expect to be successful in the past month?
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.
Approximately 7 out of every 10 patients who undergo heart valve replacement surgery have a successful procedure with no complications. In the past month, there are 16 heart valve replacement surgeries performed at a hospital.
- What is the probability that exactly half of the 16 surgeries were successful?
- What is the probability at most 13 surgeries were successful?
- How many surgeries are expected to be successful?
- What is the standard deviation of the success rate for this surgery in a sample of size 16?
- Using the
Range Rule of Thumb, what is the approximate range of the number of surgeries one would expect to be successful in the past month?
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