SOA Exam P Sample Question 93
Study guide: Exam P-1
The number of workplace injuries, N, occurring in a factory on any given day is Poisson distributed with mean \lambda. The parameter \lambda is a random variable that is determined by the level of activity in the factory, and is uniformly distributed on the interval [0, 3].
Calculate Var(N).
- A)
\lambda - B)
2\lambda - C) 0.75
- D) 1.50
- E) 2.25
Answer this question and see the worked solution
Concepts tested
- Variance and Standard Deviation
- Variance
- Poisson Distribution
- Variance for Conditional and Marginal Distributions