27 Construct the sampling distribution of the proportion of heads. for hipping a balanced coin

a) Once

b) Twice. (Hint The possible saniples are (H. Hi. (H. T) (T. H). (T. T).)

c) Three times (Hint: There are 8 possible samples.)

d) Four tines (Hint: There are 16 possible samples!

e) Describe how the shape of the sampling distribution seems to be changing as the num- ber of flips increases.