In which of the following binomial distributions does the normal distribution provide a reasonable approximation? Use computer commands to generate a graph of the distribution and compare the results to the “rule of thumb.” State your conclusions.
a. n = 10, p = 0.3
b. n = 100, p = 0.005
c. n = 500, p = 0.1
d. n = 50, p = 0.2
MINITAB
Insert the specific n and p as needed in the procedure below. Use the Make Patterned Data commands in Exercise 6.71, replacing the first value with 0, the last value with n, and the steps with 1.
Use the Binomial Probability Distribution commands on page 251, using C2 as optional storage.
Use the Scatterplot Simple commands for the data in C1 and C2. Select Data View, Data Display, Project Lines to complete the graph.
Excel
Insert the specific n and p as needed in the procedure below. Use the RANDOM NUMBER GENERATION Patterned Distribution commands in Exercise 6.71, replacing the first value with 0, the last value with n, the steps with 1, and the output range with A1. Activate cell B1; then use the Binomial Probability Distribution commands on pages 251-252.
Use the Insert > commands for the data in columns A and B Choosing the Select Data subcommand remove Series 1.