Question

The relationship between the binomial and hypergeometric distributions is Select one: O a. not apparent because there is no fundamental relationship O b. apparent when N becomes large O c. dependent on the value of p O d. dependent on the value of q O e. apparent when N is small

Answer 1

The Binomial and hypergeometric distribution, both are used to describe the distribution of number of successes in a fixed number of trials. The only difference between the two distributions is that in a Binomial distribution the probability of success remains same for each trial, whereas in a hypergeometric distribution the probability changes with each trial. The hypergeometric distributing can be approximated to binomial distribution as the number of trials (N) becomes indefinitely large and the ratio of the number of favorable trials (successes) (M) to the total number of trials becomes constant, that is, the hypergeometric distribution can be approximated by binomial distribution if the following conditions hold: N →00 N Thus, the correct option is b.