Standard deviation of returns for security


Question: Given the following probability distribution, what is the expected return and the standard deviation of returns for security?

state 1, probability 0.2, expected return 10%
state 1, probability 0.6, expected return 15%
state 3, probability 0.2, expected return 20%

a.    15%; 6.50%

b.    12%; 5.18%

c.    15%; 3.16%

d.    15%; 10.00%

e.    20%; 5.00%

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