Use the following information to answer the questions 5 and 6. The head of emerg
ID: 3326618 • Letter: U
Question
Use the following information to answer the questions 5 and 6.
The head of emergency department in a hospital wants to study the arrival of patients needing urgent care during the 48 hours of the weekends.
The probability of the urgent patients’ arrival per hour is observed to be the following:
Number of urgent patients arriving
Probability
0
0.35
1
0.3
2
0.15
3
0.15
4
0.05
5. Establish random number intervals for the variable of number of urgent patients arriving per hour during the weekends.
6. Simulate the arrival of urgent patients during 10 hours, using the following double digit random numbers:
52, 37, 82, 69, 98, 96, 33, 50, 88, and 90. Then compute the average simulated arrival rate. Hour Random number Simulated arrival 1 2 3 4 5 6 7 8 9 10
Hour
Random number
Simulated arrival
1
2
3
4
5
6
7
8
9
10
Number of urgent patients arriving
Probability
0
0.35
1
0.3
2
0.15
3
0.15
4
0.05
Explanation / Answer
5)
Two digit numbers range from 00 to 99. totally 100 2 digit numbers
there are 5 rows and each has probability. For e.g. first row (0 patients/ hr) probability is 0.35 so there should be 35 random 2 digit numbers. Assign 00 to 34
Similarly for 2nd row (1 patient/ hr) probability is 0.3 so assign from 35 to 64 ( 30 two digit numbers) and so on for other rows.
6)
E.g calculation for 1st random number is 52, since it is between 35 and 64 the number of patients is 1.
Average simulated arrival rate is the average of 10 simulated arrivals which is 2.2 / hour.
Random number interval No. of patients/ hr Probability from To 0 0.35 00 34 1 0.3 35 64 2 0.15 65 79 3 0.15 80 94 4 0.05 95 99