Actuarial Notes

SOA Exam P Sample Question 647

Study guide: Exam P-1

An unfair coin is tossed. If the outcome of the coin toss is heads, then a six-sided die with the probability that each even number is twice as likely as each odd number is rolled. If the outcome of the coin toss is tails, then a fair die is rolled.

Let X be the random variable equal to the number on the face of the rolled die. Let F be the cumulative distribution function for X.

F(3) = 0.463.

Calculate P[X = 4].

  • A) 0.167
  • B) 0.194
  • C) 0.204
  • D) 0.537
  • E) 0.667

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