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Answer to Question #11897 in Statistics and Probability for weiyi

Question #11897
kp cafeteria coffee is very popular. on average it sold 10 cups of coffee per hour. find the probability that exactly 12cups of coffee were sold in 2 hours.
Expert's answer
Using Poisson's distribution we will obtain P(0), P(1), ..., P(12). Than Probability we are interested in is calculated as follows P=summ[i=0,12]P(i)P(12-i).

i___P(i)__________P(12-i)_______P(i)P(12-i)
0___0,004540%___9,478033%____0,00043%
1___0,045400%___11,373640%___0,00516%
2___0,227000%___12,511004%___0,02840%
3___0,756665%___12,511004%___0,09467%
4___1,891664%___11,259903%___0,21300%
5___3,783327%___9,007923%____0,34080%
6___6,305546%___6,305546%____0,39760%
7___9,007923%___3,783327%____0,34080%
8___11,259903%__1,891664%____0,21300%
9___12,511004%__0,756665%____0,09467%
10__12,511004%__0,227000%____0,02840%
11__11,373640%__0,045400%____0,00516%
12__9,478033%___0,004540%____0,00043%

And the answer, according to the table(summ of the last column) P=1.76252%

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