Statistics I20785 marksNumerical: fitting binomial distributionDiscrete distributions
Fit a binomial distribution to the following data:
Fit a binomial distribution to the following data:
$$\begin{array}{c|ccccccc} X & 0 & 1 & 2 & 3 & 4 & 5 & 6 \ \hline f & 5 & 8 & 15 & 14 & 10 & 6 & 2 \ \end{array}$$
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X 0 1 2 3 4 5 6 ------------------------ f 5 8 15 14 10 6 2 Maximum value of X is 6, so $n = 6$. X f fX ---------- 0 5 0 1 8 8 2 15 30 3 14 42 4 10 40 5 6 30 6 2 12 Total N = 60 ΣfX = 162 $$\bar{X} = \frac{\Sigma fX}{N} = \frac{162}{60} = 2.7$$ $$np = \bar{X} \implies p = \frac{2.7}{6} = 0.45$$