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StatsCh6

# StatsCh6 - Chapter 6 Discrete Distributions Cannot have...

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Chapter 6 1 Chapter 6 Discrete Distributions Cannot have decimal places Discrete=5 Continuous=5.73

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Chapter 6 2 Assigning probabilities: A probability function is used to define probabilities on discrete random variables.
Chapter 6 3 Mathematical Expectation: Given a random variable X with a density function p(x) : E X xp x i i i n ( ) ( ) = = 1

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Chapter 6 4 Variance: The variance of X is: V X E X E X x p x i i i n ( ) ( ) ( ) ( ) = - = = 2 2 2 2 1 μ
Chapter 6 5 Discrete Uniform Distribution Each outcome is equally likely. a= lower limit, b = upper limit. μ = a+b/2 σ = see notes

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Chapter 6 6 Expected value of a roll of a die: X = {1, 2, 3, 4, 5, 6} P(x) = 1/6 for all values of x E(x) = = 3.5 1 1 6 2 1 6 3 1 6 4 1 6 5 1 6 6 1 6 * * * * * * + + + + +
Chapter 6 7 Binomial Random Variable Fixed number of observations or trials, n . The trials are independent . There are only two possible outcomes

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StatsCh6 - Chapter 6 Discrete Distributions Cannot have...

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