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PPT2 Binomial Distribution

# PPT2 Binomial Distribution - McGill University Advanced...

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Unformatted text preview: McGill University Advanced Business Statistics MGSC-272 Fall’09 Binomial Distribution The Binomial Distribution Bernoulli Process Characteristics of the Bernoulli Process 1. The experiment consists of a fixed number ( n ) of repeated trials. 2. Each trial has exactly two outcomes: success or failure . 3. The probability of success does not change from trial to trial. 4. P(success) = p and P(failure) = 1 – p = q . 5. The trials are independent. 6. The binomial random variable X = the number of successes in n trials. Determining Binomial Probabilities ( ) (1 ) for 1,2,3,...., ! where and ! ( 1)( 2)....3.2.1 !( )! n x n x x n x P X x C p p x n n C n n n n x n x- = =- = = =--- n x C is the number of combinations when x objects are selected from n objects. Notation: n n x x n x n C C C x = = = ÷ Binomial probability distribution when n = 4 and p = 0.5: 4 4 1 3 1 3 2 2 2 2 3 1 3 1 4 4!...
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PPT2 Binomial Distribution - McGill University Advanced...

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