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Unformatted text preview: Ch. 6: 6.1 Probability distribution of the random variable( : ) (variable) ( ) . (constant) , (random variable) .- (probability distribution): . (List of values of random variable along with the probability of these values.)- (discrete probability distribution): x (countable set) . - : top ( ) Graph P(x) P(x) = 1/6 for x= 1 to 6 1/6 x 0 1 2 3 4 5 6 7 table, graph, formula . 6.2 Computation of mean and variance of the discrete probability distribution 6.2.1 Mean of the discrete probability distribution ( ) (expected value) . . E(x) = ∑ n i =1 x i P(x i ) 6.2.2 Variance of the discrete probability distribution ( ) V(x) = ∑ n i = 1 (x i-E(x)) 2 P(x i ) (definitional formula) V(x) = ∑ n i=1 x 2 i P(x i )- E(x) 2 (computational formula or formula by mean square) 6.3 Binomial distribution( ): (Bernoulli distribution) . (1713 James Bernoulli) < > n . ( or ) ( ) n x . < > P(x) = n C x π x (1-π) n - x x : no. of success in n trials P( p = x/n) = n C x π x ( 1-π) n - x p : proportion of success...
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- Spring '09