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Yvonne currently owns 100 shares of Amazon stock in addition to other savings of $42,590. The risk free rate is 0%. Amazon stock is currently trading at $3,188. The Amazon stock price has a 30% chance of moving to $3,590, a 50% chance of moving to $2,885 and a 20% chance of moving to $2,709 by the end of the period. Yvonne has an opportunity to enter a bet (at a cost of $13,788) that pays $24,889 if the Amazon stock price exceeds $2,709, otherwise zero. Yvonne is an expected utility maximiser. Her utility over total final wealth is given by the square root of her total end-of-period wealth, that is U(W) = W^0.5 where W is her end of period wealth. Calculate Yvonne's expected end-of-period utility if she takes the bet. (Please provide the answer in decimal form to an accuracy of 4 decimal places.)