SOA Exam P Sample Question 635
Study guide: Exam P-1
Let X, Y, and Z be mutually independent exponential random variables with means \alpha, \beta, and 4 respectively.
Assume the following:
i) U = X + Y + Z
ii) V = X - Y
iii) E(U) = \text{Var}(V)
iv) E(U) - E(V) = \dfrac{\text{Var}(U) - \text{Var}(V)}{2}
Calculate \alpha.
- A)
0.5 - B)
1.0 - C)
1.5 - D)
2.0 - E)
2.5
Answer this question and see the worked solution