Discussion
Mean is the same as variance for a :
Answer: A
Mean equals variance for a Poisson distribution.
For a Poisson distribution with parameter \(\lambda\), both the mean and the variance equal \(\lambda\). This is often used as a quick test of whether count data are Poisson.
For the binomial distribution, mean \(np\) and variance \(np(1 - p)\) differ unless \(p = 0\). A normal distribution has independent mean and variance parameters. A uniform distribution on \([a, b]\) has mean \(\frac{a+b}{2}\) and variance \(\frac{(b-a)^{2}}{12}\), equal only by coincidence.
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