STAT 410 Midterm: STAT410 DOLGOPYAT-D FALL2004 0101 MID EXAM

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Suppose that you can go one step up or one step to the right at each move. How many people do exactly one of those activities? (3) there are two boxes having 4 red and 4 blue balls each. Two balls are drawn randomly from the rst box and put into the second. Later two balls are chosen randomly from the second box. A ball is chosen at random from each box. If all students are equally smart what is the probability that the rst woman to nish the test would be the third person to nish? (6) a midterm test consists of six problems. 10 points are given for each correct answer and 5 points are subtracted for each incorrect answer. A student reckons that she can solve each problem correctly with probability p and incorrectly with probability 1 p independently of other problems.