Run JOINT program with pH = 0.50 and numCoins = 2 for the following sample sizes: 100, 1000, and 5,000. Complete the table.
a. Compare the relative frequency of TT, HT, TH, and HH with the probability of these events. Do the relative frequencies provide a reasonable approxima-tion to the probabilities?
Yes______ No ______
b. For which sample size does the relative frequency give the best approximation? N = 100 _______ N = 1,000 _______ N = 5,000 __________
c. Under HEADS, a value of 1 gives the joint probability for HT and TH. P(1) = P(HT) + P(TH) by the addition law. Compute P(1) for each sample size. N = 100 _________ N = 1,000 ________ N = 5,000 _________
d. Show that the same is true for the frequency. F(1) = F(HT) + F(TH) by the addition law. Compute F(1) for each sample size. Note: F = P N N = 100 ________ N = 1,000 _________ N = 5,000 _________