# Question

Use the Simulating the Probability of Head with a Fair Coin applet on the text CD or other software to illustrate the long-run definition of probability by simulating short-term and long-term results of flipping a balanced coin.

a. Set the sample size to n = 10. Run the applet 10 times, and record the cumulative proportion of heads for each of the 10 simulations.

b. Now set the sample size n = 100. Run the applet 10 times, and record the 10 cumulative proportions of heads for the separate sets. Do they vary much?

c. Now set n = 1000. Run the applet 10 times, and record the 10 cumulative proportions of heads. Do they vary more, or less, than the proportions in part b based on n = 100?

d. Summarize the effect of the number of trials n on the variability of the proportion. How does this reflect what’s implied by the law of large numbers?

a. Set the sample size to n = 10. Run the applet 10 times, and record the cumulative proportion of heads for each of the 10 simulations.

b. Now set the sample size n = 100. Run the applet 10 times, and record the 10 cumulative proportions of heads for the separate sets. Do they vary much?

c. Now set n = 1000. Run the applet 10 times, and record the 10 cumulative proportions of heads. Do they vary more, or less, than the proportions in part b based on n = 100?

d. Summarize the effect of the number of trials n on the variability of the proportion. How does this reflect what’s implied by the law of large numbers?

## Answer to relevant Questions

Nearly all heroin addicts have used marijuana sometime in their lives. So, some argue that marijuana should be illegal because marijuana users are likely to become heroin addicts. Use a Venn diagram to illustrate the fallacy ...A teacher announces a pop quiz for which the student is completely unprepared. The quiz consists of 100 true-false questions. The student has no choice but to guess the answer randomly for all 100 questions. a. Simulate ...In table tennis, the first person to get at least 21 points while being ahead of the opponent by at least two points wins the game. In games between you and an opponent, suppose successive points are independent, and suppose ...A couple plans to have two children. Each child is equally likely to be a girl or boy, with gender independent of that of the other child. a. Construct a sample space for the genders of the two children. b. Find the ...Because of the increasing nuisance of spam e-mail messages, many start-up companies have emerged to develop e-mail filters. One such filter was recently advertised as being 95% accurate. The way the advertisement is worded, ...Post your question

0