Signal and the signal

Probability Level 1

The probability generating function for the Poisson distribution is $e^{\lambda z}e^{-\lambda}.$

Find its standard deviation.

Image credit: Wikidepia Skbkekas , the probability mass function of Poisson distribution

\sqrt{\lambda}

1+\lambda

1-\lambda^2

\lambda^{-2}

1 solution

Brendan Lum
Feb 20, 2016

The mean and variance of a Poisson distribution with parameter $\lambda$ is $\lambda$ . (as per the wiki page ). The standard deviation is the square root of the variance. Thus: $\sigma = \sqrt{\lambda}$

Signal and the signal

Image credit: Wikidepia Skbkekas , the probability mass function of Poisson distribution

1 solution

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