Fit a Poisson distribution to the following data. | Defects (X = x) | | Basic Statistics 2080.1

Basic Statistics2080.15 marksNumerical: fitting Poisson distributionPoisson distribution

Fit a Poisson distribution to the following data.

Defects (X = x)	0	1	2	3	4	5
Number of pages	142	156	69	27	5	1

[5]

Defects (x) 0 1 2 3 4 5 --------------------- No. of pages (f) 142 156 69 27 5 1 $\lambda = \bar{x} = \frac{\sum f x}{\sum f}$ x f f·x ----------- 0 142 0 1 156 156 2 69 138 3 27 81 4 5 20 5 1 5 Total N = 400 Σfx = 400 $\lambda = \frac{400}{400} = 1$ $$P(X = x) = \frac{e^{-\lambda}\lambda^x}{...

Defects (x) 0 1 2 3 4 5 --------------------- No. of pages (f) 142 156 69 27 5 1 $$\lambda = \bar{x} = \frac{\sum f x}{\sum f}$$ x f f·x ----------- 0 142 0 1 156 156 2 69 138 3 27 81 4 5 20 5 1 5 Total N = 400 Σfx = 400 $$\lambda = \frac{400}{400} = 1$$ $$P(X = x) = \frac{e^{-\lambda}\lambda^x}{...

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Fit a Poisson distribution to the following data. | Defects (X = x) | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | Number of pages | 142 | 156 | 69 | 27 | 5 | 1 |