Consider a population with values of x equal to 0 or 1.

Assume that the values of x are equally likely. For each of the following values of n, use a computer to generate 750 random samples and calculate the sample proportion of 1s observed for each sample. Then construct a histogram of the 750 sample proportions for each sample.

a. n = 5

b. n = 50

c. n = 250

d. Refer to histograms, part a–c. What changes occur as the value of n increases? What similarities exist?