{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# 131A_1_FinalPractice2010Upload - EE 131A Probability...

This preview shows pages 1–6. Sign up to view the full content.

EE 131A Fall 2010 Practice Final Probability December 6, 2010 Instructor: Lara Dolecek Maximum score is 200 points. You have 180 minutes to complete the exam. Please show your work. Good luck! Problem Score Possible 1 15 2 10 3 20 4 15 5 10 6 15 7 15 8 20 9 20 10 25 11 10 12 25 Total 200 1

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

View Full Document
1. (15 pts) The random variable X has cdf as shown in Figure. Compute (a) P [ X < - 1], (b) P [ X ≤ - 1], and (c) P [ | X - 0 . 5 | > 0 . 5]. 2
2. (10 pts) Suppose ( X, Y, Z ) are distributed as follows: ( X, Y, Z ) = (0 , 0 , 0) with probability 0 . 25 , (0 , 5 , 5) with probability 0 . 25 , (5 , 5 , 0) with probability 0 . 25 , (5 , 0 , 5) with probability 0 . 25 . (a) Are X and Y independent ? (b) Are X , Y and Z independent ? 3

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

View Full Document
3. (20 pts) Suppose X 1 , X 2 , ... , X n are independent and uniformly distributed on [ a, b ]. Let Y = max { X 1 , X 2 , . . . , X n } . (a) Find pdf of Y . (b) What are E [ Y ] and V AR ( Y )? 4
4. (15 pts) Fifty-two percent of the residents of New York are in favor of outlawing cigarette smoking in publicly owned places. A pollster randomly picks n people and determines what percentage of them are in favor of banning smoking. How large should n

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

View Full Document
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