Group assignment as described on attached . Danika is the CEO of the startup company DeepTrees, and she wants to insure the company's head office against theft. To this end, she has gathered the following 3 insurance offers: 1) TheinsurancecompanyNoRegretsoffersacomprehensivepackagethatpaysfor any losses due to theft. The package costs $2,000 per year. 2) TheinsurancecompanyInsureNowoffersacheaperpackagethatonlycosts $1,500 per year, but the insurance holder has to pay the first $5,000 of any losses herself. 3) TheinsurancecompanyRiskIt,finally,offersanevencheaperpackagethatonly costs $1,000 per year. This package, however, only repays 75% of any potentially incurred losses. Danika believes that the contents of the head office cost $15,000 to replace in case of a theft, and from local crime statistics she estimates that there is a 5% chance that the head office will be broken into in any given year. (You can assume that there is at most one theft in any given year.) (a) In case of a theft, how much would Danika have to pay (i) under the NoRegrets package, (ii) the InsureNow package and (iii) the RiskIt package? (15 marks) (b) Construct a payoff table that models Danika's problem, and determine the optimal choice under the (i) maximin, (ii) maximax, (iii) maximum likelihood and (iv) expected value criterion. (25 marks) (c) Which package would you choose? Justify your answer. (10 marks)