4.1 Exercise 1 — Statistics

A hospital researcher is interested in the number of times the average post-op patient will ring the nurse during a 12-hour shift. For a random sample of 50 patients, the following information was obtained. Let X = the number of times a patient rings the nurse during a 12-hour shift. For this exercise, x = 0, 1, 2, 3, 4, 5. P(x) = the probability that X takes on value x. Why is this a discrete probability distribution function (two reasons)?

X	P(x)
0	P(x = 0) = $\frac{4}{50}$
1	P(x = 1) = $\frac{8}{50}$
2	P(x = 2) = $\frac{16}{50}$
3	P(x = 3) = $\frac{14}{50}$
4	P(x = 4) = $\frac{6}{50}$
5	P(x = 5) = $\frac{2}{50}$

OpenStax Statistics, 4.1 Probability Distribution Function (PDF) for a Discrete Random Variable, exercise 1

AI Tutor