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6. a) You have a loaded coin. The probability of heads is 0.55 and the probability of tails is 0.45. If you ip the coin 5 times, use the binomial probability formula to nd the probability of getting exactly 3 tails. b) There are 6 multiple choice questions on a test. Each question has 5 possible answers. A student guesses at each answer, so the probability of a correct answer is 1/5 or 0.20. Use Table A-1 to nd the probability of getting at least one correct answer. 7. Las Vegas has introduced a new game in which the player draws 1 card from a deck of 52 cards. a) The player wins the amounts shown. What is the Expected Value of this game? Card Win 1x! y 2-10 $1 36/52 I $2 4/52 Q $5 4/52 K $25 4/52 A $50 4/52 b) Explain what this Expected Value means. What should the casino charge to play the game? Why