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You won't find an actuary in this Health Center, but their work is the backbone of the health insurance industry. Actuaries figure out the price of health insurance premiums, based on criteria like age, health, and habits. In the U.S., the Affordable Care Act has created many new opportunities for actuaries.
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These two students are going to their Corporate Finance class, as they work on the requirements for earning an actuarial credential. Future actuaries must complete approved courses on certain topics to fulfill the Validation by Educational Experience (VEE) requirements. Learn more in the College Study section.

Do the Math

Let T1 be the time between a car accident and reporting a claim to the insurance company. Let T2 be the time between the report of the claim and payment of the claim. The joint density function of T1 and T2, f(t1, t2), is constant over the region 0 < t1 < 6, 0< t2 < 6, t1 + t2 < 10, and zero otherwise. Determine E[T1 + T2], the expected time between a car accident and payment of the claim.

  1. 4.9
  2. 5.0
  3. 5.7
  4. 6.0
  5. 6.7
View Answer

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