214 Binomial Distribution 4.2 ACTIVITY APPLET You can find the interactive applet for this activity at MyLab Statistics. 214 CHAPTER 4 Discrete Probability Distributions The Binomial distribution applet allows you to simulate values from a binomial distribution. You can specify the parameters for the binomial distribution 1nandp2 and the number of values to be simulated 1N2. When you click Simulate, N values from the specified binomial distribution will be plotted. The frequency of each outcome is shown in the plot. 0 0 Count of 100 n: p: N: Binomial Applet 1 10 100 Simulate 0.5 2 6 12 28 26 11 12 4 4 Outcomes 6 8 10 5 10 15 20 25 30 EXPLORE Step 1 Specify a value of n. Step 2 Specify a value of p. Step 3 Specify a value of N. Step 4 Click Simulate. DRAW CONCLUSIONS 1. During a presidential election year, 70% of a county’s eligible voters cast a vote. Simulate selecting n = 10 eligible voters N = 10 times (for 10 communities in the county). Use the results to estimate the probability that the number who voted in this election is (a) exactly 5, (b) at least 8, and (c) at most 7. 2. During a non-presidential election year, 20% of the eligible voters in the same county as in Exercise 1 cast a vote. Simulate selecting n = 10 eligible voters N = 10 times (for 10 communities in the county). Use the results to estimate the probability that the number who voted in this election is (a) exactly 4, (b) at least 5, and (c) less than 4. 3. For the election in Exercise 1, simulate selecting n = 10 eligible voters N = 100 times. Estimate the probability that the number who voted in this election is exactly 5. Compare this result with the result in Exercise 1 part (a). Which of these is closer to the probability found using the binomial probability formula? APPLET
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