Chapter 5

# Chapter 5 - Chapter 5 Some Discrete Probability...

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Chapter 5. Some Discrete Probability Distributions 5.1 Discrete Uniform Distribution If the random variable X assumes the values 12 , , , k x xx , with equal probabilities, then the discrete uniform distribution is given by 1 ( ; ) , k f xk x x x x k == The mean and variance of the discrete uniform distribution (;) are 1 k i i x k µ = = and 2 2 1 () k i i x k σ = =

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5.2 Binomial and Multinomial Distribution The Bernoulli Process 1. The experiment consists of n repeated trials. 2. Each trial results in an outcome that may be classified as a success or a failure 3. The Probability of success, denoted by p , remains constant from trial to trial. 4. The repeated trials are independent. : Bernoulli experiment has only two possible outcomes with probability p and 1 p 1 if success with 0 if failure with 1 p X p = Binomial Distribution : A Bernoulli trial can result in a success with probability p and a failure with probability 1 qp = . Then the probability
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## This note was uploaded on 10/02/2011 for the course STAT 3011 taught by Professor Wang,zhan during the Spring '09 term at Minnesota.

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Chapter 5 - Chapter 5 Some Discrete Probability...

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