{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

homework_10

# homework_10 - MIT OpenCourseWare http/ocw.mit.edu 1.010...

This preview shows pages 1–2. 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 #10 Due December 4, 2008 (in class) 1. Random variables X 1 , …, X 50 are independent with the following distributions: X 1 , …, X 10 U[0, 1] X 11 , …, X 20 N(1, 0.1) X 21 , …, X 30 LN(3, 0.2) X 31 , …, X 40 Ex[0.4] X 41 , …, X 50 Ga(2, 0.2) where U[0, 1] is the uniform distribution in [0,1], N( m , σ 2 ) and LN( m , σ 2 ) are the normal and lognormal distributions with mean value m and variance σ 2 , Ex[ m ] is the exponential distribution with mean value m , and Ga( n , m ) is the gamma distribution that results from adding n iid exponential variables with distribution Ex[ m ]. Find in approximation the 50 probability that Y = " X i exceeds 56. i = 1 2. The daily SO 2 concentration at a given location is normally distributed with mean 0.03 ppm (parts per million) and coefficient of variation 40%. Clean air standards require
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