MATH 333 Midterm: MATH 333 NJIT M333 Exam1F14

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Instructors: egbert ammicht, george mytalas, padma natarajan, jonathan porus. This problem has three independent parts a), b), and c) Problem 1) a) in a chemical plant, 24 holding tanks are used for final product storage. Suppose that six of the tanks contain high viscosity material. Four tanks are selected at random and without replacement. What is the probability that exactly one tank in the sample contains high-viscosity material? (6 points: consider the design of a communication system. How many three digit phone prefixes are possible that do not start with 0 or 1, but contain 0 or 1 as the middle digit? (6 points) Show work to get full credit: the probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If the connector is ever wet, the probability of a failure during the warranty period is 5%.