SOA Exam P Sample Question 467
Study guide: Exam P-1
Within a fleet of aircraft, planes are subject to mechanical inspection. For a randomly selected airplane, let X denote the number of inspections in the past year and Y the number of repairs. The joint probability function of X and Y is given by
p(x,y) = \begin{cases}
\dfrac{x - 2y - xy + 3}{18}, & \text{for } x = 1, 2, 3 \text{ and } y = 0, 1 \\
0, & \text{otherwise.}
\end{cases}Calculate the expected number of repairs per inspection, E\left(\dfrac{Y}{X}\right).
- A)
3/38 - B)
11/108 - C)
11/36 - D)
1/2 - E)
11/18
Answer this question and see the worked solution