Actuarial Notes

Exam P Practice Question 948

Study guide: Exam P-1

A random sample of 4 independent claims is drawn, where each claim size X has a lognormal distribution with \ln X \sim N(6, 1^2). Let M be the maximum claim size.

Calculate the probability that M exceeds e^{7}.

  • A) 1-(1-e^{-1/2})^4
  • B) (1-\Phi(1))^4
  • C) \Phi(1)^4
  • D) 1-\Phi(1)^4
  • E) 4[1-\Phi(1)]

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