Actuarial Notes

SOA Exam P Sample Question 429

Study guide: Exam P-1

A baseball-pitching machine is used for batting practice. The machine is out of adjustment such that every pitched baseball arrives at the batter's box between 0 and 2 feet higher than intended.

Let X equal the difference, in feet, between the actual arrival height and the intended arrival height of a pitched baseball.

The density of X, f(x), is proportional to x.

Calculate the 80th percentile for X.

  • A) 0.40
  • B) 0.89
  • C) 1.26
  • D) 1.60
  • E) 1.79

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Concepts tested

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