Statistics 312 12 Hypergeometric Distribution 1 Hypergeometric Experiment A hypergeometric experiment satisfies three conditions 1 Finite population of size N 2 Pop consists of A successes and N A failures 3 Random sample of size n is taken Hypergeometric RV X the number of successes in a hypergeometric experiment The hypergeometric distribution for obtaining X successes given a knowledge of the sample size n the population size N and the number of successes in the population A is P X x n N A A N A x n x N n A N A x A x n x N A n x N n N n Example A batch of 12 silicon wafers has 3 that are nonconforming to specs If four wafers are selected at random find the probability that exactly 1 is nonconforming 3 12 3 3 9 4 1 1 1 2 3 6 P X 1 n 4 N 12 A 3 0 5091 12 12 4 8 4 Statistics 312 12 Hypergeometric Distribution Read pp 158 161 Prob 4 24 4 25 4 26 2
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