Chapter 17
Problems 17-1
You have $1,000,000 worth of
equipment at the job site and wish to minimize your risk of direct property
damage by taking out an insurance policy. The insurance company provides you
with its statistical data as shown below:
Type
of Damage |
Probability
(%) |
Amount
of Damage (Loss) (%) |
Total |
0,02 |
100 |
Medium |
0.08 |
40 |
Low |
0,10 |
20 |
No
Damage |
99.8 |
0 |
If the insurance company uses
expected value to calculate premiums, then how much would you expect the
premium to be, assuming the insurance company adds on $300 for handling and
profit?
Answer:
Handling and profit = RM300.00i)
1. The expected loss and its
variance;
Property damage type |
Probability (%) |
Loss amount (RM) |
Probability loss amount (RM) |
Total |
0.0002 |
1,000,000 |
200 |
Medium |
0.0008 |
400,000 |
320 |
Low |
0.0010 |
200,000 |
200 |
No damage |
0.9980 |
0 |
0 |
Thus expected value loss = E(X) = ai Pr (X = ai)
= (200 + 320 + 200 + 0)/1 = RM 720.00
Mean
= (1,000,000 + 400,000 + 200,000 + 0)/4 = 400,000
Variance:
Var (X) = E (
(X - µ)2) =
2=∑(ai- µ)2 Pr(X = ai)
= (1,000,000-400,000)2 x 0.0002 + (400,000-400,000) 2 x 0.0008 + (200,000-400,000) 2
x 0.001 + (0-400,000)2 x 0.998
=159,792,000,000
Problem 17-5
A telecommunications firm believes that the majority of its income
over the next ten years willcome from organizations outside of the United
States. More specifically, the income will come from third world nations that
may have very little understanding or experience in project management. The
company prepared Figure 17–21. What causes the increasing risks in Figure
17–21?
Answer:
As shown in figure 17-21 that the
reason increasing risk in project is the organization has no or little
experience in project management. Also the risk will reach the top level of
risk if the project was complex. As more as project was simple as well as the
organization was experienced that will be no risk at all, otherwise the risk
increasing while organization’s experience was low and project was complex for
this inexperience organizations.
Chapter 20
No Problems
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