MATH 333 Final: MATH 333 NJIT M333 FinalF14
15 Feb 2019
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Math-333 (common final exam) njit: # 1. Instructors: egbert ammicht, george mytalas, padma natarajan, jonathan porus. Problem 1) (note that a) and b) are separate problems: the lifetime of a mechanical assembly in a vibration test is exponentially distributed with a mean of 500 hours. Six infants born at the hospital are selected at random. What is the probability that exactly two have the metabolic defect? (round your answer to 4 decimal places) (6 points) Problem 2) (note that a) and b) are separate problems: suppose that a certain random variable, x, has the following cumulative distribution function (cdf): Find p(x > 2. 5) (round your answer to 4 decimal places) (6 points: a soft drink dispensing machine is said to be out of control if the variance of the contents exceeds 1. 15 deciliters. A random sample of 25 drinks from this machine is studied and the sample variance is computed to be 2. 03 deciliters.
