1.Applet for coin flipping Use the Simulating the Probability of Head With a Fair Coin (one coin with the probability of heads = 0.5) applet on StatCrunch or online software to illustrate the long-run definition of probability by simulating short-term and long-term results of flipping a balanced coin. Using the default set up;
a.Run the applet for 1 run 10 times, and record the cumulative proportion of heads for the 10 simulations.
b.Using the reset button, run the applet 10 times for 5 runs, and record the 50 cumulative proportions of heads for the separate sets. Do they vary much?
Repeat the process for 1000 runs, and record the 10,000 cumulative proportions of heads. Do they vary more, or less, than the proportions in part b based on 50 total trials?
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?