Probability Statement

Question 1

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.

Review the resources and consider how one of the distributions presented might be useful for healthcare administration leaders. Describe in 2 or 3 paragraphs 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.

Question 2

There are 4 math books, 4 English books, and 3 science books on the bookshelf. If a book is randomly selected, what is the probability that it is a math book or a science book?

A. 1/3

B. 4/9

C. 1/6

D. 7/11