6) Sharron is running for Senate. She can either campaign for universal health care or for lower taxes. She would personally prefer campaigning on universal health care, and would get 50 utility for campaigning on health care and 0 utility for campaigning on taxes. However, she also wants to win the election. She gets 100 utility for winning and 0 for losing. She believes she has a 50% chance of winning if she campaigns on health care. She believes she has an 80% chance of winning if she campaigns on lower taxes. What is her expected utility of campaigning on health care? What is

A First Course in Probability (10th Edition)
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6) Sharron is running for Senate. She can either campaign for universal health care or for
lower taxes. She would personally prefer campaigning on universal health care, and
would get 50 utility for campaigning on health care and 0 utility for campaigning on
taxes. However, she also wants to win the election. She gets 100 utility for winning and
0 for losing. She believes she has a 50% chance of winning if she campaigns on health
care. She believes she has an 80% chance of winning if she campaigns on lower taxes.
What is her expected utility of campaigning on health care? What is her expected utility
of campaigning on lower taxes? Which should she choose?

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