This document contains a 3 page exam for a biomedical engineering elective course. It consists of 4 questions worth a total of 75 marks. Question 1 involves calculating future values of a cash flow with interest rates. Question 2 involves constructing a control chart to determine if a production process is in or out of control. Question 3 involves drawing a PERT network and performing critical path analysis for a project. Question 4 involves calculating queueing metrics like utilization, wait probability, and queue length for a clinic.

1. Examiners Signature
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Page 1 of 3
Academic Year: 2018/2019 Term Exam: Second Term
Department:
Systems &
Biomedical
Engineering
Course Code: Bio 450
Date: 16-5-2019 Course Title: Elective course 2
Time: 8:30-10:30 Full Mark: 75
Question (1): [15 Mark]
Given the following cash flow:
Year Money amount
0 -2000
1 -1000
2 -2000
3 -1000
4 00
5 1000
6 2000
7 1000
8 2000
A-If the interest rate is 9% and compounding occurs annually, find the equivalent future value of
the entire cash flow at the end of the 8 th year.
B- If the interest rate is 9% and compounding occurs semiannually, find the equivalent future
value of the entire cash flow at the end of the 8 th year

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Question (2): [20 Mark]
The following table indicates the number of a medical item produced daily, and the number that are non-
conforming for a period of 28 days. Construct the control chart. Is the production process in control or out
of control?
Day Produced Nonconforming Day Produced Nonconforming
1 562 15 15 607 24
2 641 31 16 582 19
3 561 60 17 658 35
4 582 19 18 661 36
5 582 19 19 606 24
6 593 22 20 664 36
7 679 19 21 669 37
8 599 23 22 601 23
9 675 38 23 613 26
10 689 21 24 627 29
11 677 39 25 659 35
12 668 37 26 664 36
13 647 33 27 625 28
14 644 32 28 641 31

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Question (3): [20 Mark]
A project is composed of eight activities. The following table includes the activities and the
corresponding expected times a,m, and b (i.e. most optimistic time, most likely time, and most
pessimistic time in weeks).
Activity a M b
1-2 3 6 9
2-3 2 4 6
3-4 1 4 7
3-6 2 5 8
4-5 2 5 8
5-6 1 3 5
6-7 1 2 3
5-7 2 3 4
a- Draw the PERT network.
b- Determine TE, TL, and S for each event.
c- List all paths and the length of each path.
d- Identify the critical path.
e- How many weeks are required to finish the project with a probability of 95%.
Question (4): [20 Mark]
One clinic in the outpatient department of a hospital, has the following data:
Mean waiting time in queue
(min)
Mean service time (min)
Clinic A (e.g. obs./gyn.) 63.8 10.30
a- What is system utilization factor?
b- What is the probability that a patient has to wait for service?
c- What is the mean queue length?
d- What is the estimated duration of the clinic, if the number of patients is 7?