Actuarial Notes

SOA Exam P Sample Question 250

Study guide: Exam P-1

A delivery service owns two cars that consume 15 and 30 miles per gallon. Fuel costs 3 per gallon. On any given business day, each car travels a number of miles that is independent of the other and is normally distributed with mean 25 miles and standard deviation 3 miles.

Calculate the probability that on any given business day, the total fuel cost to the delivery service will be less than 7.

  • A) 0.13
  • B) 0.23
  • C) 0.29
  • D) 0.38
  • E) 0.47

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