6.37 Symmetric binomial Construct a graph similar to that in Figure 6.1 for each of the following binomial distributions:

a. n = 4 and p = 0.50.

b. n = 4 and p = 0.30.

c. n = 4 and p = 0.10.

d. Which if any of the graphs in parts a–c are symmetric?

Without actually constructing the graph, would the case n = 20 and p = 0.50 be symmetric or skewed?

e. Which of the graphs in parts a–c is the most heavily skewed? Without actually constructing the graph, would the case n = 4 and p = 0.01 exhibit more or less skewness than the graph in part c?