Homework SourseA study examined waiting times in the Xray department for a
A study examined waiting times in the X-ray department for a hospital in Jacksonville, Florida. A clerk recorded the number of patients waiting for service at 9:00 A.M. on 20 consecutive days and obtained the following results.
Number Waiting
Number of Days Outcome Occurred
0
2
1
5
2
6
3
4
4
3
Total
20
a. Define the experiment the clerk conducted.
b. List the experimental outcomes.
c. Assign probabilities to the experimental outcomes.
d. What method did you use?
| Number Waiting | Number of Days Outcome Occurred |
| 0 | 2 |
| 1 | 5 |
| 2 | 6 |
| 3 | 4 |
| 4 | 3 |
| Total | 20 |
Solution
1) Experiment :
The clerk noted the number of people waiting in the queue at 9.00 AM everyday at the hospital for 20 days consecutively
2) Experimental outcomes :
The outcomes are X = 0,1,2,3,4 patients
3) Probabilities :
d)
Probabilities are calculated as :
Number of days of occurence / total number of days
Hope this helps. Ask if you have doubts
| Number Waiting | Number of Days | Probability |
| 0 | 2 | 0.1 |
| 1 | 5 | 0.25 |
| 2 | 6 | 0.3 |
| 3 | 4 | 0.2 |
| 4 | 3 | 0.15 |
| Total | 20 |
