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The Following Payoff Table Shows Profits for Two Decision Alternatives

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The following payoff table shows profits for two decision alternatives under three different states of nature. It is known that the probability of the occurrence of state of nature 1 is 0.1. The following payoff table shows profits for two decision alternatives under three different states of nature. It is known that the probability of the occurrence of state of nature 1 is 0.1.   a.What should the probabilities of states of natures 2 and 3 be so that the expected values of the two decision alternatives equal one another? b.Determine the expected values.
a.What should the probabilities of states of natures 2 and 3 be so that the expected values of the two decision alternatives equal one another?
b.Determine the expected values.

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Definitions:

Reproductive Advantage

A genetic or behavioral characteristic that increases an organism's likelihood of successful reproduction and passing genes to subsequent generations.

Natural Selection

The process through which traits that enhance survival and reproduction become more common in successive generations of a population.

Human Genome

The complete set of nucleic acid sequences for humans, encoded as DNA within the 23 chromosome pairs in cell nuclei and in a small DNA molecule found within individual mitochondria.

Genetic Profile

A summary of an individual's unique genetic characteristics, often used for identification or assessing disease risk.

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