9. A casino game costs $5 to play. If you win, you get back your $5 and win $35. The probability of winning the game is 0.14. a) If you play the game 100 times, roughly how many times do you expect to win? b) Using your answer to part (a), how much do you expect to win altogether on those games? c) Considering that you will therefore lose all the other games, how much do you expect to lose altogether? d) Set up a probability model and find your overall expected winnings per game? 10. Suppose that if you got in a collision, your claim amount would be around $25,000. You go to an insurance company and they quote you a price of $600 for the year. What is their estimate of your probability of getting in a collision? (ignore the possibility of multiple collisions). 11. Professor Jones' math class consists of 15 freshmen, 5 sophomores, 3 juniors and 10 seniors. If Professor Jones chooses a student at random, what is the probability that the student is a sophomore