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• Expand on your colleagues' postings by
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colleagues post

In statistics, binomial probability distribution is used with a series of repeated variables that result in one of two outcomes (Hoyland, 2023). The outcomes are either success or failure. There is a specific formula that can be used for binomial probability distribution: P(X=k) = (n choose k) p^k q^(n-k)(Hoyland, 2023). The p and q in this formula represent the probabilities of success and failure (Hoyland, 2023). There are many ways this formula can be used when looking at healthcare data and statistics. For the purpose of this discussion, the 'number of patients completing the cardiac rehabilitation program' will be used to demonstrate the formula.

The goal is to achieve 95% of patients to complete the entire 36 sessions of cardiac rehabilitation. A random sample of 100 patients were looked at, it was found that 90 complete the entire 36 sessions. The binomial with the following probability statement is: P(X95)N=100, p= 0.95). If this is ran through excel, it would look like =BINOM.DIST(90, 100, 0.95,TRUE). The results of running this through excel is 0.028188 or 2.8%.

References

Hoyland, S. (2023, November 21). Binomial Probability | Definition, Formula & Examples. Study.com. Retrieved June 6, 2024, from https://study.com/learn/lesson/binomial-probability-formula-examples.html#:~:text=A%20binomial%20probability%20distribution%20is,%22%20and%20the%20%22failure.%2