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Consider the two options in the following table, both of which have random outcomes: Option 1 Option 2 Probability of Outcome Possible Outcomes ($) Probability
Consider the two options in the following table, both of which have random outcomes:
Option 1 | Option 2 | ||
Probability of Outcome | Possible Outcomes ($) | Probability of Outcome | Possible Outcomes ($) |
0.06 | 150 | 1/5 | 120 |
0.25 | 400 | 1/5 | 255 |
0.38 | 750 | 1/5 | 1,500 |
0.25 | 200 | 1/5 | 255 |
0.06 | 150 | 1/5 | 120 |
a. Determine the expected value of each option. Expected value of Option 1: $
Expected value of Option 2: $ b. Determine the variance and standard deviation of each option. Instruction: Round your answers for standard deviation to 2 decimal places. Variance of Option 1:
Standard deviation of Option 1:
Variance of Option 2:
Standard deviation of Option 2: c. Which option is most risky? multiple choice
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Option 1
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Option 2
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