Actuarial Notes

SOA Exam P Sample Question 179

Study guide: Exam P-1

Four distinct integers are chosen randomly and without replacement from the first twelve positive integers. Let X be the random variable representing the second largest of the four selected integers, and let p be the probability function for X.

Determine p(x), for integer values of x where p(x) > 0.

  • A) \dfrac{(x-1)(x-2)(12-x)}{990}
  • B) \dfrac{(x-1)(x-2)(12-x)}{495}
  • C) \dfrac{(x-1)(12-x)(11-x)}{495}
  • D) \dfrac{(x-1)(12-x)(11-x)}{990}
  • E) \dfrac{(10-x)(12-x)(11-x)}{990}

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