Please answer thoroughly and show all steps. Use a simple method if possible and explain. Don't use excel or python, please.

#1- A 25yearold can purchase a oneyear life insurance policyr for $10,000 at a cost of $100- Past history shows that the probabilityr of a person dying at age 25 is 0-002- Find the company's expected gain per policy. #2- A developer is considering bidding for the design of a new underwater hotel- The cost of drawing plans and submian a model is $10,000. The probability of being awarded the bid is 0-1 , with the anticipated prots $100,000- i.e_ the company will make $100,000 $10,000 'om this project. 1|lilq'pi'hat is the expected gain by the developer? #3- Consider the following predatorprev game: Prev Active Passive Active (2, 5) (3, ) Pmdataor Passive (3, 2) (4,0) F I "P What are p and q in a (mixedstrategy) Nash Equilibrium? #4- Consider the following matching pennies game: Player? H T H {1,1) {1, 1) Player] T {1, l) (l, l) p 1-1? What are p and q in a (minedstrategy) Nash Equilibrium