I need help with these questions involving simulation:

One can draw heads or tails using uniform(0,1) draws by allocating heads if?(0,1)?0.5 & U(0,1)?0.5and tails otherwise.

What is the boundary valuexif we wish to make? Win or? Lose draws for one dice roll given a?(0,1) draw? for example:

• Win if?(0,1)?? or (0,1)?xand for a loss.
• A winning dice roll is one if you choose the number that you picked. for example: you roll a specific number - like choosing six.

Then:

• Consider the 3 uniform draws below. Map each draw to Win or Loose. For example:draw 1: W, draw 2: W , draw 3: L

0 1 2 3 4 5 6 7 1 0.97 0.92 1.00 0.0 0.0 0.0 0.0 -1.0 2 0.68 0.60 0.43 0.0 0.0 0.0 0.0 -1.0 3 0.75 0.63 0.33 0.0 0.0 0.0 0.0 -1.0 4 0.04 0.12 0.08 1.0 1.0 1.0 3.0 3.0 5 0.58 0.60 0.80 0.0 0.0 0.0 0.0 -1.0 6 0.01 0.21 0.36 1.0 0.0 0.0 1.0 1.0 7 0.62 0.38 0.19 0.0 0.0 0.0 0.0 -1.0 8 0.87 0.56 0.85 0.0 0.0 0.0 0.0 -1.0 9 0.58 0.15 0.04 0.0 1.0 1.0 2.0 2.0 10 0.05 0.38 0.91 1.0 0.0 0.0 1.0 1.0L MEID draw 2 draw 0. 16 0.22 0.6 draw 1: L. draw 2: L, draw 3: W