Question: There are two shares (A and B) and three different outcomes (low, medium and high). Share A has a value of 0 if there is

There are two shares (A and B) and three different outcomes (low, medium and high). Share A has a value of 0 if there is a recession, value 1 if there is a normal economic situation and value 3 if there is boom. Share B has a value of 1 if there is a recession, a value of 2 if there is a normal economic situation and value 1 if there is a boom. The probability of a recession is 0.3, the probability of normal economic cycle is 0.5 and the probability of a boom is 0.2 Find the expectation, the variance and the standard deviation of the two shares.

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