PART 1 Problem to Discuss




When you toss a fair coin, the probability of getting heads is and the probability of getting tails is .
1. When a coin is tossed 3 times, X is the number of heads.
(a) Create a probability distribution table for the variable X.
(b) Create a probability histogram for the variable X.
(c) What is the probability of tossing 3 heads in a row? Explain.
Answer:

2. For this problem, you will need a coin to toss. Fill in the tables by tossing the coin 3 different times for each trial.
(a) Complete Trial 1 by tossing the coin 3 times. After each toss, record H if you tossed heads or T if you tossed tails.
(b) Repeat the experiment for Trials 2 through 8.
Answer:
Trial 1 1 2 3
Heads (H); Tails (T)


Trial 2 1 2 3
Heads (H); Tails (T)


Trial 3 1 2 3
Heads (H); Tails (T)


Trial 4 1 2 3
Heads (H); Tails (T)


Trial 5 1 2 3
Heads (H); Tails (T)


Trial 6 1 2 3
Heads (H); Tails (T)


Trial 7 1 2 3
Heads (H); Tails (T)


Trial 8 1 2 3
Heads (H); Tails (T)



3. When a coin is tossed 3 times, X is the number of heads.
(a) Create a probability histogram for the variable X based on the results of your 8 trials in Problem 2.
(b) Is the histogram you created in Part 3a the same as your probability histogram from Problem 1? Explain why or why not.
(c) When different students perform the experiment in Problem 2, they will get different results. Is it more likely that a histogram based on the experiment in Problem 2 and a histogram based on the binomial model in Problem 1 will be the same or different? Explain why or why not.
(d) Do the results of your experiment make you question the binomial model? Explain why or why not.
PART 2 Share the results in Problem 2 by posting the histogram created in Problem 3. Explain whether or not the histogram in Problem 3 matched the histogram you created in Problem 1.