GATE CSE
First time here? Checkout the FAQ!
x
+2 votes
558 views

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 (77.3k points)   | 558 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 (36.8k points)  
selected by


Top Users May 2017
  1. akash.dinkar12

    3578 Points

  2. pawan kumarln

    2314 Points

  3. Bikram

    1950 Points

  4. Arjun

    1852 Points

  5. sh!va

    1682 Points

  6. Debashish Deka

    1296 Points

  7. Devshree Dubey

    1282 Points

  8. Arunav Khare

    1122 Points

  9. Angkit

    1072 Points

  10. LeenSharma

    1028 Points

Monthly Topper: Rs. 500 gift card
Top Users 2017 May 29 - Jun 04
  1. Arunav Khare

    246 Points

  2. Arjun

    202 Points

  3. pawan kumarln

    108 Points

  4. Rupendra Choudhary

    94 Points

  5. Niharika 1

    90 Points


22,909 questions
29,243 answers
65,403 comments
27,745 users