If ‘m’ is the mean of a Poisson Distribution, then variance is given by ___________Review Laterm^2m^1⁄2mm⁄2

Question

If ‘m’ is the mean of a Poisson Distribution, then variance is given by ___________

Review Later
m^2
m^{1/2}
m
m/2

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Solution

In a Poisson distribution, the mean (λ) is equal to the variance (σ²). This is a unique property of the Poisson distribution, where both the mean and the variance are defined by the same parameter, λ (or 'm' in your context).

Thus, if 'm' represents the mean of a Poisson distribution, the variance can be expressed as:

$\sigma^2 = m$

Given the options provided, the correct option is simply 'm'.

Final Answer

The variance of a Poisson Distribution when 'm' is the mean is given by m.

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If ‘m’ is the mean of a Poisson Distribution, then variance is given by ___________Review Laterm^2m^1⁄2mm⁄2

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