4.27. Construct the sampling distribution of the sample proportion of heads, for flipping a balanced coin: (a)

Question:

4.27. Construct the sampling distribution of the sample proportion of heads, for flipping a balanced coin:

(a) Once.

(b) Twice. (Hint: The possible samples are (H,H), (H,T), (T,H), (T,T).)

(c) Three times. (Hint: There are 8 possible sam- ples.)

(d) Four times. (Hint: There are 16 possible sam- ples.)

(e) Describe how the shape of the sampling dis- tribution seems to be changing as the number of flips increases.

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