Gate2017 ss Q4
- Option : A
- Explanation : Using Linearity of Expectation, we can write, E[(X+2)2] = E[X2] + E[4X] + E[4] The Poisson distribution, mean and variance are same. Here Mean is given as 5. So variance should also be 5. Also, Variance = E[X2] – (E[X])2 5 = E[X2] – 25. E[X2] = 30 Thus E[(X+2)2] = 30 + 4*5 + 4 = 54.
