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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

  • Option 1

  • Option 2

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