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3-Consider a game in which you roll a single die. If you roll an even number, you get that number of points. If you roll an odd number, you lose that number of points. a- Find the probability distribution of the points in the game using the given table. b- Find the expected value for the number of points. c- Is this a fair game? Number on the die Points P(x) x*p(x) X 4- A multiple-choice mathematics quiz has five questions, each with five possible answers. Someone simply guesses at each answer. a- What is the probability of zero or one correct guesses? b- What is the expected number of correct guesses? 5- From 6 girls and 9 boys, a committee of 4 is to be randomly selected. Determine the probability distribution of the number of girls on the committee?T- [n a standard deck of cards, what is the probability that you will first draw a face card : a) on the 5\"1 cut? b) in fewer than 4 cuts? c) What is the expected waiting time before you draw a face card