求救!一個有關概率的問題!

2007-10-15 8:58 am
A bag of candy has a statement on it that reads "Approximately 20 pieces (Poisson distribution)". What is the probability that you purchased a bag with only 18 pieces? What is the probability with 18 or less pieces?

回答 (2)

2007-10-15 9:24 am
參考: My Maths knowledge
2007-10-15 9:21 am
Poisson distribution: a^k e^(-a)/k!, where a is the mean and k is occurrence.

So, P(18) = 20^18 e^(-20)/ 18!
P(=<18) = Gamma(19,20)/18!
where Gamma is the Incomplete Gamma function.

Read: http://en.wikipedia.org/wiki/Poisson_distribution


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