Chapter 3.1, Problem 3.2AE

a.

To determine

To obtain: The possible values of the cumulative proportion of getting headswhen a fair coin is tossed with $n=1$.

To obtain: The possible values of the cumulative proportion of getting headswhen a fair coin is tossed many timeswith $n=1$.

To check: Whether the cumulative proportion of getting headswhen a fair coin tossed is equal to the theoretical probability of getting headswhen a fair coin is tossed with $n=1$.

To obtain: The cumulative proportion of getting headswhen a fair coin is tossed with $n=10$.

To obtain: The cumulative proportion of getting headswhen a fair coin is tossed many times with $n=10$.

To compare: The cumulative proportions for $n=10$ with cumulative proportions for $n=1$.

To identify: The cumulative proportion which tends to be closer to the theoretical probability of getting headswhen a fair coin tossed.

To obtain: The cumulative proportion of getting headswhen a fair coin is tossed with $n=1,000$.

To obtain: The cumulative proportion of getting headswhen a fair coin is tossed many times with $n=1,000$.

To compare: The cumulative proportion for $n=1,000$ with cumulative proportion

for $n=1$.

To compare: The cumulative proportion for $n=1,000$ with cumulative proportion for $n=10$.

b.

To determine

To explain: Whether the coin is unfair because it is flipped 10 times and did not get any heads.