3. You are considering investing in one of two projects, which have the following returns and probabilities of occurrence: Probability 0.10 0.20 0.25 0.30 0.10 0.05 Project A -20% 0 10% 15% 20% 40% Return on Investment Project B -35% -10% 15% 25% 40% 50% (a) Compute the mean return (Expected value) for each project. (b) Compute the variance of return for each project. (c) If risk is not a concern which project would you prefer? (d) What is the probability that your preferred project (Problem 3.c) is less profitable than the non-preferred one (For example if you chose projA in problem 3.c, what is the probability that Proj.B is more profitable than Proj.A or vice versa)

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Chapter1: Combinatorial Analysis
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3. You are considering investing in one of two projects, which have the following returns and
probabilities of occurrence:
Probability
0.10
0.20
0.25
0.30
0.10
0.05
Project A
-20%
0
10%
15%
20%
40%
Return on Investment
Project B
-35%
-10%
15%
25%
40%
50%
(a) Compute the mean return (Expected value) for each project.
(b) Compute the variance of return for each project.
(c) If risk is not a concern which project would you prefer?
(d) What is the probability that your preferred project (Problem 3.c) is less profitable than the
non-preferred one ( For example if you chose projA in problem 3.c, what is the
probability that Proj.B is more profitable than Proj.A or vice versa)
Transcribed Image Text:3. You are considering investing in one of two projects, which have the following returns and probabilities of occurrence: Probability 0.10 0.20 0.25 0.30 0.10 0.05 Project A -20% 0 10% 15% 20% 40% Return on Investment Project B -35% -10% 15% 25% 40% 50% (a) Compute the mean return (Expected value) for each project. (b) Compute the variance of return for each project. (c) If risk is not a concern which project would you prefer? (d) What is the probability that your preferred project (Problem 3.c) is less profitable than the non-preferred one ( For example if you chose projA in problem 3.c, what is the probability that Proj.B is more profitable than Proj.A or vice versa)
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