Problem 1. You play two games against the same opponent . If you win in the first game , you get a prize of $100. If you win in the second game, you get a prize of $ 200. The probability that you win in the first game is 0.4 . If you win in the first game , the probability that you also win in the second game is 0.2 . If you lose in the first game , the probability that you win in the second game is 0.3 a) Develop the probability mass function for your total prize money . (2 Points ) b ) What is the expected value of your total prize money

Solve for x and y a x= 13.3 y= 16.7 b x= 23.3 y= 12.5 c x= 7.5 y= 16.7 d x=7.5 y= 12.5

Astocks price gained 3% in april and 5% in may and then lost 4% in june and 1% in july during which month did the stocks price change the most

Our star pitcher, foster enlight, can throw a pitch so fast that it gets to the catcher’s mitt before it leaves foster’s fingers! if the team wins a game then the probability that foster was pitching is 0.8 but only if foster had at least one day’s rest since his last pitching assignment. if foster does not have a day off and the team still wins, the probability that foster was pitching drops by half of what it was on the previous day. if the team wins three games in succession from the toronto tachyons and foster pitched in game #2, what is the probability that he pitched in one or more of the other games? (assume that foster did not pitch on the day before the first game of this three game series.)