Draw 100 random samples from a binomial distribution, each based on 10 trials with probability of success = .05 on each trial. Obtain a frequency distribution of the number of successes over the 100 random samples, and plot the distribution. How does it compare with Figure 4.5(a)?

Figure 4.5 (a):

The binomial distribution for various values of p when n = 10

(a) n = 10, p = .05

SIMULATION
An attractive feature of modern statistical packages such as MINITAB, Excel, or R is the ability to use the computer to simulate random variables on the computer and to compare the characteristics of the observed samples with the theoretical properties of the random variables.

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