Actuarial Notes

SOA Exam P Sample Question 223

Study guide: Exam P-1

A gun shop sells gunpowder. Monthly demand for gunpowder is normally distributed, averages 20 pounds, and has a standard deviation of 2 pounds. The shop manager wishes to stock gunpowder inventory at the beginning of each month so that there is only a 2% chance that the shop will run out of gunpowder (i.e., that demand will exceed inventory) in any given month.

Calculate the amount of gunpowder to stock in inventory, in pounds.

  • A) 16
  • B) 23
  • C) 24
  • D) 32
  • E) 43

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