Nathalie Champagne is a trader in Toronto and she purchases an option on a stock that will give her $100 in profit if the stock goes up on that day but she will lose $400 if it goes down. She thinks there is a 70% chance that the stock will go up. Build a probability model to determine the possible outcomes and their probabilities. Tell me also what is the mean and the standard deviation and tell me also if it is a good deal.