MATE 4101 Probability and Statistics Exam 2020

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MATE 4101: First Semester Examinations 2019/2020, University of Bamenda, National Higher Polytechnic Institute, Department COME Year II, Lecturer Prof GEH Wilson E, 02/02/2020: Exercise 1, the exponential lifetime distribution of a hard drive (expectation/standard deviation, survival probabilities, the memoryless property, finding a time quantile and a guarantee period); Exercise 2, a Binomial(300, 2/3) random variable approximated by the Normal distribution (justifying the approximation and computing P(X>210)), plus deriving the Binomial moment generating function and using it to verify E(X)=np and V(X)=npq; Exercise 3, computing the histogram, cumulative-frequency ogive, mean, median, quartiles, semi-interquartile range, variance and standard deviation of a grouped frequency table of exam scores.