Actuarial Notes

Exam P Practice Question 909

Study guide: Exam P-1

An insurer pays hospital costs X \sim \text{Exp}(\text{mean } 3000) and doctor costs Y \sim \text{Exp}(\text{mean } 1500), independent. Total claims W = X + Y.

Calculate P[W > 3000].

  • A) 0.37
  • B) 0.45
  • C) 0.60
  • D) 0.72
  • E) 0.86

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