Question

Poisson distribution

Given that Y ~ Po(4.5)
Find y such that P(Y=y) is the greatest, for y = 0,1,2....
Ans is 4 but i dont know the steps

Answer 1

The answer is y=4 because P(Y=4) is the greatest probability than y being a different integer. This can be verified by using the calculator which will show that P(Y=4) = 0.1898 and this is greater than P(Y=3) which is 0.1687 or P(Y=5) which is 0.1708. Hope this helps.