Suppose we conduct a Poisson experiment, in which the average number of successes within a given region is "\\lambda" . Then, the Poisson probability is:
"\\begin{array}{c:c:c:c:c:c:c:c}\n X & 0 & 1 & 2 & 3 & 4 & 5 & Total\\\\ \\hline\n F & 142 & 156 & 69 & 27 & 5 & 1& 400\n\\end{array}"
"={142(0)+156(1)+69(2)+27(3)+5(4)+1(5) \\over 400}=1"
This is the parameter "\\lambda" of the Poisson distribution ":\\lambda=1"
Required Poisson distribution is
"\\begin{array}{c:c:c}\n x & P(x) & Theoretical\\ Frequency \\\\ \\hline\n 0 & 147.15 & 147\n\\\\\n \\hline\n 1 & 147.15 & 147\n\\\\ \\hline\n 2 & 73.58 & 74\\\\\n \\hline\n 3 & 24.53 & 25 \\\\\n \\hline\n 4 & 6.13 & 6 \\\\ \\hline\n 5 & 1.23 & 1 \\\\ \\hline\n & & Total=400 \\\\\n\\end{array}"
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