3' Jane's utility function for vacations of length it (in weeks) is u(t) = x/E She is given the choice between a 4-week vacation and a lottery with an equal chance of winning either a oneweek vacation or an 8week vacation (a) What is the expected length of the vacation if Jane chooses the lottery? (b) What is J ane's expected utility from the lottery? (c) What is J ane's expected utility from a 4week vacation? (d) Will Jane choose the 4week vacation or the lottery? (e) Explain your nding