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A study examined waiting times in the X-ray department for a hospital in Jackson

ID: 3381825 • Letter: A

Question

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

Explanation / Answer

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