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| Teaching Since: | May 2017 |
| Last Sign in: | 408 Weeks Ago |
| Questions Answered: | 66690 |
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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
You pay $1 to play Game A, which generates a payoff $0, $1, $2, or $3 with respective probabilities 0.4, 0.3, 0.2, and 0.1. You also pay $2 to play Game B, which generates a payoff $0, $2, or $4 with respective probabilities 0.7, 0.2, and 0.1. The games are operated independently of each other.
a. Construct the probability distribution of your total gain from playing the two games. (Your gain is your winnings minus the cost of playing the game.)
b. Find the expected value and standard deviation of your total gain.
c. Show that your expected total gain in part b is the sum of your expected gains from each of the two games.
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