STAT 400 Midterm: STAT400 FORNI-G SPRING2009 0101 MID EXAM

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No notes, calculators, cell phones or electronic devices. Ii) a discrete random variable x : s z = {. , 2, 1, 0, 1, 2, . has cumulative distribution function. F (x) =( 0 for x 0 ; Find: p (3 x 7) , the expectation e(x) , the variance v (x) . Iii) a transmission of data along a communication line a takes 30 sec if it is not interrupted by noise. Each interruption has probability 0. 5 and slows down the communication by 10 sec. Along a communication line b the transmission takes 40 sec if it is not interrupted. Each interruption has probability 0. 25 and slows down the communication by 9 sec. Assume that the transmission line is chosen by tossing a fair coin. Iv) a game consists rolling a fair die until a 6 is obtained.