You are the healthcare administration leader for a health services organization

You are the healthcare administration leader for a health services organization and are interested in achieving a standard, whereby 90% of all patients are screened within the initial 15 minutes of arriving for a family practice appointment. In a random sample of 30 patients, you find that 25 were screened within 15 minutes. The probability that this event (or one more extreme) would occur, might be modeled as a binomial with the following probability statement:
P(X≤25 | N=30, p=0.9)
To solve, you use =binom.dist(25, 30, 0.9, TRUE) in Excel and find that you would expect 25 or fewer screenings in 30 trials when the success rate should be 0.9 about 17.5% of the time.
For this Discussion, review the resources for this week, and consider how one of the distributions presented might be useful for healthcare administration leaders.
Post an example of how one of the distributions presented might be used in your health services organization or one with which you are familiar. Then, generate a representative probability statement based on the scenario and solve using fictitious data. Be specific in your probability statement.
Albright, S. C., & Winston, W. L. (2017). Business analytics: Data analysis and decision making (6th ed.). Stamford, CT: Cengage Learning.
Chapter 4, “Probability and Probability Distributions”
Chapter 5, “Normal, Binomial, Poisson, and Exponential Distributions”
Fulton, L. V., Mendez, F. A., Bastian, N. D., & Musal, R. M. (2012). Confusion between odds and probability, a pandemic? Journal of Statistics Education, 20(3), 1–20.
https://support.microsoft.com/en-us/office/statistical-functions-reference-624dac86-a375-4435-bc25-76d659719ffd
Please use one of the provided distributions to complete
https://youtu.be/i44hBz7pArE binomial distribution
https://youtu.be/MRxnYidPzlo normal distribution function
https://youtu.be/jA_-PBGSMz4 Poisson distribution

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