{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# hw1 - UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Actuarial...

This preview shows pages 1–2. Sign up to view the full content.

UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Actuarial Science Program DEPARTMENT OF MATHEMATICS Math 478 / 568 Prof. Rick Gorvett Actuarial Modeling Spring 2011 Homework Assignment # 1 (max. points = 10) Due at the beginning of class on Thursday, January 27, 2011 You are encouraged to work on these problems in groups of no more than 3 or 4. However, each student must hand in her/his own answer sheet. Please show your work – enough to show that you understand how to do the problem – and circle your final answer. Full credit can only be given if the answer and approach are appropriate. Please provide answers to two decimal places. Each problem is worth one point. (1) A loss distribution X has pdf 10 0 , 02 . 0 20 . 0 ) ( = x x x f . Find the value of the survival function at x = 7. (2) For the pdf in problem (1) above, find the hazard rate at x = 8. (3) Find the mean of a random variable X which has survival function x e , x 0. x S 0125 . 0 ) ( = (4) Find the ratio of the 90 th percentile to the median of the following distribution: x e x f 04 . 0 04 . 0 ) ( = , x

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