Question

Choose the correct sampling distribution for​ p, the proportion of heads obtained in the experiment of flipping a balanced coin once.​ (Hint: The possible sample proportion values are 0 if the flip is a tail and 1 if the flip is a head. What are their​ probabilities?)

Answer 1

1/2

Explanation:

The coin is balanced, so if we call p the probability of heads, then p must be equal to 1-p, the probability of tails. Since p = 1-p, then 2p = 1, therefore p = 1/2. As a consecuence, there is a probability of 1/2 that the number of heads obtained is 1, and a probability of 1/2 that the number of heads obtained is 0.

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