Quantative Techniques Solve Math Problems and Draw Charts - 550 Words

Quantative Techniques: Solve Math Problems and Draw Charts (Math Problem Sample) Content: NameProfessorSubjectDateQUESTION ONEThe product delivery system is a series-parallel system. The state function that is used to assess the reliability of the system is by decomposing the system into respective sub-systems.The parallel sub-system reliability calculation is through co- product of the individual elementsThe parallel subsystem contains two components with identical reliability of (1 3/10,000)Individual reliability = 0.9997Subsystem reliability R= 1 (1 0.9997)2 = 0.9999The series sub-system reliability calculation is through product of individual reliabilitiesThe 15 components in the series sub-system each with a reliability of (1 1/10,000)Individual component reliability = 0.9999Reliability of the sub-system = (0.9999)15R = 0.9985Finally, since the two subsystems are put together in series, the overall reliability is the product of the two sub-systems, (0.9999 . 0.9985) = 0.9985QUESTION TWOThe Xbar - chart shown in the plot below evaluates the consist ency of sample averages by graphing the average of each sample. It is useful at showing the relatively large deviations in the plotted sample average.The R-chart plots the ranges of each sample. The R chart evaluates the consistency of sample variationAnswer: The Xbar - chart and R-chart plotsThe process is not under control since there exist some relatively large deviations in the sample range. Sample 6, 7 and 8 are out of control.QUESTION THREEData TableType of Problem Frequency CUMULATIVE TOTAL CUMULATIVE TOTAL Batteries not included 21 21 42% Items damaged when received 13 34 68% Literature is not included in box 9 43 86% Parts missing 6 49 98% Unit not working 1 50 100% Answer: Pareto chart with cumulative % frequencyThe cumulative frequency of the two left-most bars is 68%.QUESTION FOURAnswer: Mean and standard deviationCustomer Satisfaction rating 1 4 2 3 3 2 4 5 5 5 6 2 7 1 8 4 9 3 10 4 11 4 12 5 13 3 14 3 15 2 16 1 17 5 18 3 19 4 20 3 21 4 22 2 23 4 24 4 25 3 26 3 27 3 28 2 29 2 30 3 ...