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The following problem is adapted from David C. Skinner, Introduction to Decision Analysis (Florida: Probabilistic Publishing, 1996). Suppose you wish to invest $1000 for a

The following problem is adapted from David C. Skinner, Introduction to Decision Analysis (Florida: Probabilistic Publishing, 1996). Suppose you wish to invest $1000 for a year. You have three choices: a mutual fund, a management company, or a CD. Each of the investments may have a high or a low yield. Mutual funds return 68%, management companies 58%, and CDs 14%.

(a) Make a tree diagram showing all possibilities. Write the amount of money expected from the investment at the end of each branch.

mutual fund, high yield $
mutual fund, low yield $
management company, high yield $
management company, low yield $
CD, high yield $
CD, low yield $

(b) Based on your tree diagram, what is the highest value for the investment? $ (c) Based on your tree diagram, what is the lowest value for the investment?

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