Physics307L:People/Franco/Franco's Poisson Statistics

As the Mean increases
So as λ increases the Poisson distribution fits the Normal distribution.

Poisson Graphs from the spreadsheet from the lab were selected for simplicity: 4,6,7,8,9,10

λ=.3564

λ=.6035

λ=1.223

λ=2.086

λ=12.09

λ=247.9





Poisson Probability
There is a probability for the frequency of those events to occur. This is know as the Poisson Probability. Here are 3 examples. This is also on the.

For Poisson Graph 4 Number	 Frequency Poisson Prob. 0	   701	      70.02% 1	  282	      24.96% 2	   40	      4.45% 3	   1	      0.53% 4	   0	      0.05% 5	   0	      0.00% 6	   0	      0.00% 7	   0	      0.00% 8	   0	      0.00% 9	   0	      0.00% 10	   0	      0.00%

For Poisson Graph 8 Number	 Frequency Poisson Prob. 0	    46	      12.42% 1	   143	      25.91% 2	    145	      27.02% 3	    108	      18.79% 4	    45	      9.80% 5	    20	      4.09% 6	    4	      1.42% 7	    1	      0.42% 8	    0	      0.11% 9	    0	      0.03% 10	    0	      0.01%

For Poisson Graph 9 Number	 Frequency Poisson Prob. 0	    0	      0.00% 1	   0	      0.01% 2	    0	      0.04% 3	    0	      0.17% 4	    0	      0.50% 5	    3	      1.21% 6	    1	      2.44% 7	    7	      4.21% 8	    22	      6.37% 9	    30	      8.55% 10	    34	      10.33% 11	    32	      11.35% 12	    28	      11.43% 13	    24	      10.63% 14	    16	      9.18% 15	    18	      7.39% 16	    11	      5.58% 17	    8	      3.97% 18	    6	      2.67% 19	    6	      1.70% 20	    6	      1.02% 21	    1	      0.59% 22	    1	      0.32% 23	    1	      0.17% 24	    1	      0.09% 25	    0	      0.04% 26	    0	      0.02% 27	    0	      0.01% 28	    0	      0.00% 29	    0	      0.00% 30	    0	      0.00%


 * Poisson Statistics Lab
 * Notebook