Question

Suppose you want to estimate the probability that a patient will develop an infection while hospitalized at a particular hospital. In the past year, this hospital had 8,650 patients, and 812 of them developed an infection. What is the estimated probability that a patient at this hospital will develop an infection?

Answer 1

To estimate the probability that a patient will develop an infection at a particular hospital, divide the number of patients who developed an infection by the total number of patients in the hospital.

Step-by-step explanation:

To estimate the probability that a patient will develop an infection at a particular hospital, we can use the formula:

Probability = Number of patients who developed an infection / Total number of patients in the hospital

Using the given information:

Number of patients who developed an infection = 812

Total number of patients in the hospital = 8,650

Substituting these values into the formula, we get:

Probability = 812 / 8,650 = 0.0939

Therefore, the estimated probability that a patient at this hospital will develop an infection is approximately 0.0939 or 9.39%.