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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.