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-   -   Probability (https://www.askmehelpdesk.com/showthread.php?t=533230)

  • Dec 9, 2010, 02:30 PM
    ooooo1
    probability
    A company offers a basic life insurance policy to its employees, as well as a supplemental life insurance policy. To purchase the supplementa policy, an employee must first purchase the basic policy. Let X denote the proportion of employees who purchase the basic policy, and Y the proportion of employees who purchase the supplemental policy. Let X and Y have the joint density function f(x,y)= 2(x+y). Given that 10% of the employees buy the basic policy, what is the probability that fewer than 5% buy the supplemental policy?
  • Dec 10, 2010, 02:18 PM
    galactus
    This looks like an actuary problem.

    Anyway, the jpf is 2(x+y),

    0<y<x<1 (why?).









    Finish the integration and you have it.
  • Dec 11, 2010, 09:05 AM
    ooooo1
    Comment on galactus's post
    Thank u very much

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