Statistics I20755 marksNumerical: Poisson distribution fittingDiscrete distributions
Write the properties of Poisson distribution. Fit a Poisson distribution and find the expected frequencies.
Write the properties of Poisson distribution. Fit a Poisson distribution and find the expected frequencies.
$$\begin{array}{c|cccccccc} \text{X} & 0 & 1 & 2 & 3 & 4 & 5 & 6 & 7 \ \text{Y} & 71 & 112 & 117 & 57 & 27 & 11 & 3 & 1 \end{array}$$
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Frequency distribution: X 0 1 2 3 4 5 6 7 --------------------------- Y (f) 71 112 117 57 27 11 3 1 All values readable. Nothing missing. --- Let $X \sim P(\lambda)$. 1. PMF: $P(X=x)=\dfrac{e^{-\lambda}\lambda^{x}}{x!},\quad x=0,1,2,\dots$ 2. Mean = Variance = $\lambda$ (characteristic property)....