Actuarial Notes

SOA Exam P Sample Question 203

Study guide: Exam P-1

Four distinct integers are chosen randomly and without replacement from the first twelve positive integers. X is the random variable representing the second smallest of the four selected integers, and p is the probability function of X.

Determine p(x) for x = 2,3,\ldots,10.

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

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