The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
+4 votes

If the pdf of a Poisson distribution is given by $f(x) = \frac{e^{-2} 2^x}{x!}$ then its mean is

  1. $2^x$
  2. $2$
  3. $-2$
  4. $1$
asked in Probability by Veteran (96.5k points) | 711 views

1 Answer

+7 votes
Best answer
If we let X = The number of events in a given interval,
Then, if the mean number of events per interval is 
The probability of observing x events in a given interval is given by

Poisson Distribution function $P\left ( X=x \right ) =\frac{e^{-\lambda }\lambda ^{x}}{x!}$

Given Distribution function $f\left ( x \right )=\frac{e^{-2 }2 ^{x}}{x!}$

Comparing both the function

SO Mean $\left ( \lambda \right )=2$
answered by Veteran (39.2k points)
selected by

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

28,831 questions
36,676 answers
34,638 users