here are two investments projects A and B each involving an initial investment of $2,000. The possible payoffs of investments A are $1,000, $2,000 and $3,000 with respective probabilities 0.20, 0.40, and 0.40, while the possible payoffs of investment B are $1,600, $2,000, and $2,750 with respective probabilities 0.25, 0.35, and 0.40. Calculate the expected value and the standard deviation of the payoff for each of the two investments.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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There are two investments projects A and B each involving an initial investment of $2,000. The possible payoffs of investments A are $1,000, $2,000 and $3,000 with respective probabilities 0.20, 0.40, and 0.40, while the possible payoffs of investment B are $1,600, $2,000, and $2,750 with respective probabilities 0.25, 0.35, and 0.40. Calculate the expected value and the standard deviation of the payoff for each of the two investments.  

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