Bernoulli p binomial distribution p Poisson p Bernoulli

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Bernoulli 隨機變數 p 二項分配(binomial distribution) p Poisson 分配 p

Bernoulli 隨機變數 p 二項分配(binomial distribution) p Poisson 分配 p

Bernoulli 隨機變數 p 若X~Bernoulli(p), 則 E(X) = p, 且Var (X) = p(1 − p).

Bernoulli 隨機變數 p 若X~Bernoulli(p), 則 E(X) = p, 且Var (X) = p(1 − p).

給定p = 0. 03, n = 80, = np = 80 × 0. 03

給定p = 0. 03, n = 80, = np = 80 × 0. 03 = 2. 4

Thinking Challenge You work in Quality Assurance for an investment firm. A clerk enters

Thinking Challenge You work in Quality Assurance for an investment firm. A clerk enters 75 words per minute with 6 errors per hour. What is the probability of 0 errors in a 255 -word bond transaction? © 1984 -1994 T/Maker Co.

Poisson Distribution Solution: Finding * p 75 words/min = (75 words/min)(60 min/hr) = 4500

Poisson Distribution Solution: Finding * p 75 words/min = (75 words/min)(60 min/hr) = 4500 words/hr p 6 errors/hr = 6 errors/4500 words =. 00133 errors/word p In a 255 -word transaction (interval): �= (. 00133 errors/word )(255 words) =. 34 errors/255 -word transaction

Poisson Distribution Solution: Finding p(0)*

Poisson Distribution Solution: Finding p(0)*