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There are two sub-systems 1 and 2 Failure of sub-systeml will make sub-system2 35% inoperable while failure of sub-system2 will make sub-systeml 50% inoperable Matrix A can be written as

There are two sub-systems (1 and 2). Failure of sub-systeml will make sub-system2 35% inoperable, while failure of sub-system2 will make sub-systeml 50% inoperable
1. Matrix A can be written as:

A =

X1

X2

X1

X2

Suppose that sub-system2 is attacked with intensity h = 90%. Using matrix equation x = Ax + c, where x is the inoperability of the sub-systems, A is the dependency matrix, and c is the intensity of attack, please match the values to the following questions
2. What is the resulting value of x1?
3. What is the resulting value of x2?
Problem 2
Apply Gorda algorithm to score and rank the risk events shown.

Criteria

1.1 Telephone

1.2 Cellular

2. Cable

Undetectabilitv

High

Low

High

Uncontrollability

High

Med

High

Multiple Paths to Failure

High

Med

High

Irreversibility

High

High

Low

Duration of Effects

High

High

High

Cascading Effects

Low

High

High

Operating Environment

High

Med

High

Wear and Tear

High

Med

High

Hardware’ Sof tw are/Human/Organizational

High

High

High

Complexity and Emergent Behaviors

High

High

High

Design Immaturity

High

High

Med

1. What is the score of “Telephone”?
2. What is the score of “Cellular”?
3. What is the score of “Cable”?
Problem 3
John Doe is a rational person whose satisfaction or preference for various amounts of money can be expressed as a function U(x) = (x/100)^2, where x is in $.
1. How much satisfaction does $20 bring to John?
If we limit the range of U(x) between 0 and 1.0, then we can use this function to represent John’s utility (i.e. U(x) becomes his utility function).
2. What is the shape of his utility function?
CI Concave
m Convex
m Straight line
q None of these
3. What does this graph show about John’s incremental satisfaction?
q Increases with increasing x
q Decreases with increasing x
q Does not change with k
m None of these
4. “The shape of John’s utility function shows that he is willing to accept more risk than a risk-neutral person.”
True
False
5. John is considering a lottery which payoff $80 forty percent of the time, and $10 sixty percent of the time. If John plays this lottery repeatedly, how much will be his long-term average satisfaction?
6. For John, what certain amount would give him satisfaction equal to this lottery? Express your answer to nearest whole $.

Apr 16 2020 Read more Less More

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