Actuarial Notes

SOA Exam FAM Sample Question 63

Study guide: Exam FAM

The random variable X represents the random loss, before any deductible is applied, covered by an insurance policy. The probability density function of X is

f(x) = 2x, \quad 0 < x < 1.

Payments are made subject to a deductible, d, where 0 < d < 1.

The probability that a claim payment is less than 0.5 is equal to 0.64.

Calculate the value of d.

  • A) 0.1
  • B) 0.2
  • C) 0.3
  • D) 0.4
  • E) 0.5

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