AM1.567

# AM1.567 - Survival Probabilities(section 1.5...

This preview shows pages 1–8. Sign up to view the full content.

Survival Probabilities (section 1.5) Notation/Definitions ( x ) = an individual who is currently age x p x = prob. ( x ) will survive at least one more year n p x = prob. ( x ) will survive at least n more years (i.e. survive to at least age x+n ) q x = prob. ( x ) will die within one year (i.e. die before reaching age x +1) n q x = prob. ( x ) will die within the next n -years (i.e. die before reaching age x+n )

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

View Full Document
We know: d x = q x = p x = 1 - q x = n q x = n p x = 1 - n q x =
In Summary

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

View Full Document
Other Useful Probabilities 1. m |q x = prob. ( x ) survives m -years but dies within the following year (i.e. dies between age x+m and x+m +1)
2. m | n q x = prob. ( x ) survives m -years but dies within the following n - years (i.e. dies between age x+m and x+m+n )

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

View Full Document
Example 1.5.1 Using the 2001 CSO table, determine the following probabilities: (a) (25) survives at least 30 more years (b) (30) dies between age 50 and 51 (c) (25) dies between age 50 and 60 (d) (55) dies within 10 years (e) (25) dies between age 55 and 65 Solution to 1.5.1
Other Useful Relationships 1.

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