Suppose an agent has the following utility function U(x) = { R log(x) for 0 < x < R Rlog(R) + (e - eR) for x > R ' where > 0 and R>0. (b) Let y = 2 and R = 1. Suppose the agent is offered the following investment; a fair coin is tossed 7 times. The agent wins $100 if either seven heads or seven tails appears in a row and loses $1 otherwise. If the agent has an initial wealth of $5 will the agent enter the investment under the Principle of Expected Utility?