homework_07

# homework_07 - MIT OpenCourseWare http/ocw.mit.edu 1.010...

This preview shows pages 1–3. Sign up to view the full content.

MIT OpenCourseWare http://ocw.mit.edu 1.010 Uncertainty in Engineering Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
! ! " # & \$ \$ % ( ) * + , - - 1.010 Fall 2008 Homework Set #7 Due November 6, 2008 (in class) 1. X has uniform distribution between 0 and 1. Let Y = X 2 . a) Find the exact mean value and variance of X b) Find the exact mean value and variance of Y . c) Approximate the mean value and variance of Y using first-order second-moment (FOSM) analysis. Compare with the results in (b). 2. The natural frequency ω at which a one-story building vibrates is given by K ω = M where K is the lateral stiffness of the building and M is its mass. If K is random with mean value m K and standard deviation σ K and M is known, use FOSM analysis to find in approximation the mean value and variance of ω . 3. In planning a building, the number of elevators is chosen on the basis of balancing initial costs versus the expected delay times of the users. These delays are closely related to the number of stops the elevator makes on a trip. If an elevator runs full (n people) and
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern