1. Chandler works as a marketing strategist amongst his highest selling products were Roller Shoes, Boots and Summer shoes. The sale is expected to be at 35% High and 25% low respectively. Given the table below is the expected number of items sold per month. (10 points) Product High(35%) Medium Low[25%) Roller Shoes 350 250 100 Boots 300 500 300 Summer Shoes 100 200 400 If under uncertainty what product Chandler can sell the most under each strategy? a. Maximax b. Minimax c. Laplace d. Hurwicz with a=70% e. Minimax Regret f. Compute the expected value of each console Based on the expected value approach, which product will have the most sale? 2. Ash Ketchum is playing the standard monopoly against Brock, Jessie and Misty. Brock owns the Board Walk and Park Place and has 2 houses on each block, Jessie owns the 4 Railroads and Misty owns Pacific, North Carolina and Pennsylvania Avenue having 2 houses on each block. On Ash turn he stands from Marvin Gardens. What is the probability of Ash getting bankrupt if he doesn't have anything to mortgage and only left with 405 on his hand? (Getting a Community Chest or Chance Card will give him additional 50$] (10 points) 3. Chihiro was asked to play for the School Festival. She was given the freedom to arrange her songs to play. She has 3 rock 4 ballad and 2 Love song to choose from. In how many ways can she do her play given that all ballads must be played last. (10 points) 4. Disguised Toast is expected to sell 3-7 of his merch during his live stream with the probability of 0.2, 0.1 0.05, 0.35 0.07 and 0.23 respectively depending on his viewers. Find the mean, variance and standard deviation of the following probability distribution. (10 points) 5. Killua started working as a contract assassin at the age of 6. The average yearly kill he gets is about 120 person per year. Assume that the number of kills is normally distributed with a standard deviation of 40. If a year is selected randomly what is the probability that Killua killed 135 persons that particular year? (10 points)