Each time an unbiased coin is flipped three times, the probability of getting 0, 1, 2, and 3 heads is 1

8

, 3 8

, 3 8

, and 1

8

, respectively.

Therefore, with eight groups of three flips each, on the average, one group will yield 0 heads, three groups will yield 1 head, three groups will yield 2 heads, and one group will yield 3 heads.

(a) Using your own coin, flip it 24 times divided into eight groups of three flips each, and record the number of groups with 0 head, with 1 head, with 2 heads, and with 3 heads.

(b) Obtaining uniform random numbers as instructed at the beginning of the Problems section, simulate the flips specified in part

(a) and record the information indicated in part (a).

E

(c) Formulate a spreadsheet model for performing a simulation of three flips of the coin and recording the number of heads.

Perform one replication of this simulation.

E

(d) Use this spreadsheet to generate a data table with 8 replications of the simulation. Compare this frequency distribution of the number of heads with the probability distribution of the number of heads with three flips.

E

(e) Repeat part

(d) with 800 replications.