Q1) Since the agent is Risk Averse he will take the utility from the expected wealth in Law Profession and compare it with the utility from getting a Job of 62000, in this case he his utility from expected wealth in law profession is=(62500)^(1/2) while utility obtained from getting a secured job=(62000)^(1/2)..clearly utility is more if he chooses law profession.
Q2) Since the person is Risk Averse he will take in to account the worst situation i.e. he does not get a partner and compare it with a secured one i.e. 62000...so maximum premium that he would pay is (62000-45000)=Rs 17000.
Q3) The IC's will be upward sloping and concave to the origin.
However plz do check...!!!!
"I don't ride side-saddle. I'm as straight as a submarine"