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ENGR300-01-02-03 Midterm Exam-2 (20 %) Ins: Mutlu Ozer, Fall 2007 Name: Solution Use pencil and erase unnecessary works. Do not attach any scratch paper. Use the space provided next to problems for your solutions!!! Do not separate exam papers! ---------------------------------------------------------------------------------------Problem-1 (3%) Problem-2 (3%) Problem-3 (1.5%) Probability density function vs. failure times of battery plotted as below. Compute Expected failure time of battery? Problem-4 (3%) Problem-5 (3%) Problem-6 (2.5%) In a certain circuit design, it is important that standard deviation of the current be less than 15 mA. In a test of twelve parts, the sample standard deviation is found to be 10 mA. Can we be 99% confident that the standard deviation will not exceed 15 mA? Problem-7 (4%) A simple spring is used to measure force. The spring is considered to be linear, so that F=kx, where F is the force in Newtons, k is the spring constant in Newton per centimeter, and x is displacement in cm. If x = 12.5 ± 1.25 cm and k = 700 ± 18 N/cm, calculate the max. possible error and the uncertainty of the measured force in absolute (dimensional) and relative (%) terms.