Suppose the Boston Red Sox and the New York Yankees (two Major League Baseball teams) are playing a best-of-three series. The first team to win two games is the winner of the series, and the series ends as soon as one team has won two games. The first game is played in Boston, the second game is played in New York, and if necessary the third game is in Boston. The probability that the Red Sox win a game in Boston is 0.55. The probability that the Yankees win a game in New York is 0.53. Assume the outcomes of the games are independent. a. Use PrecisionTree to contruct a probability tree to represent this problem.
b. What is the probability the Red Sox win the series, i. e., they win two games?
c. Suppose you are a Red sox fan, so you place a bet on each game played where you win $100 if the Red Sox win the game and you lose $105 if the Red Sox lose the game. Find the distribution of your net winnings. Then find the expected net winnings?

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?