Draw 100 random samples from a binomial distribution, each based on 10 trials with probability of success

Question:

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

0.6 0.5 0.4 F 0.3 0.2 0.1 0.0 10 (Y = XMd


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.

Distribution
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