(a)[3]
Calculate $P(A_1 + A_2 < 2)$.
(b)[4]
When $A_1 + A_2 < 2$ is known, find $P(A_1 = 1)$.
(c)[1]
Give one reason why $A_1 - A_2$ is unable to have a Poisson distribution.
Mathematics 9709 · AS & A Level · The Poisson distribution
The Poisson distribution — practice question
The random variable $A$ follows the distribution $\text{Po}(1.5)$. $A_1$ and $A_2$ are independent observations of $A$.