Suppose that X r Poisson(5) What value would you record as a prediction of a future value of X? How would you justify your choice?

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Suppose that X r Poisson(5) What value would you record as a prediction of a future value of X? How would you justify your choice?





Answered Same DayDec 25, 2021

Answer To: Suppose that X r Poisson(5) What value would you record as a prediction of a future value of X? How...

Robert answered on Dec 25 2021
130 Votes
The prediction will be mode, which is defined as the most likely outcome.
For poisson distribution,
mode = dλe − 1, bλc
Here, λ = 5 (given)
Mode = 4,5
We can verify this by computing probabilities as different integers.
P (X = k) = e
−λλk
k!
P (X = 0) = e
−λλ0
0! =
e−5(5)0
0! = 0.006...
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