Chapter 6.3, Problem 105E

To determine

To Explain: the reason of requirement that the sample size n be less than 10 percent of the population size N.

Answer to Problem 105E

10% condition requires being satisfied

Explanation of Solution

There is possible to use a binomial distribution to approximate the number of successes in a simple random sample, if the 10% condition is satisfied. The 10% condition needs that the sample is less than 10% of the population. Although the sample is too much smaller than the population, to be then safe to assume that the trials of events are independent In this case, this then means that the sample size n require to be less than 10% of the population size N.