Assumptions of Poisson distribution include all of the following except
A) expected number of occurrences of an event is proportional to the length of the interval
B) probability of occurrence of events in two intervals of the same length will be equal
C) probability of occurrence of events in the interval $t$ to $t+1$ is not affected by occurrence history in the interval $\mathrm{t}-1$ to $\mathrm{t}$
D)probability of occurrence of events in the interval $t$ to $t+3$ is not affected by the occurrence of events in the interval $t-1$ to $t+1$

Question

Quizplus · Accepted Answer

The correct assumption related to the Poisson distribution is that the probability of an event occurring in a given interval is independent of the occurrence of events in any non-overlapping interval. However, choice D incorrectly suggests that events in overlapping intervals ($t$ to $t+3$ and $t-1$ to $t+1$) do not affect each other, which contradicts the principle of independence in non-overlapping intervals.

Assumptions of Poisson Distribution Include All of the Following Except ttt

Assumptions of Poisson Distribution Include All of the Following Except $t$