Actuarial Notes

SOA Exam P Sample Question 634

Study guide: Exam P-1

A customer uses an ATM. Let Y be the time that the customer spends waiting in line before reaching the ATM. Let Z be the time that the customer spends at the ATM performing the transaction. Y and Z are independent random variables. Let X = Y + Z.

Assume the following:

i) E(X) = 2.00 ii) \text{Var}(X) = 2.25 iii) E(Y) = 1.20 iv) \text{Var}(Y) = 0.90

Calculate the coefficient of variation for Z.

  • A) 0.59
  • B) 0.69
  • C) 1.16
  • D) 1.35
  • E) 1.45

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