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Answer:
The sampling distribution of X is exactly binomial with n = 1200 and p = 0.25
Step-by-step explanation:
For each person surveyed, there are only two possible outcomes. Eithey they support his proposition, or they do not support his proposition. So the sampling distribution of X is exactly binomial.
Binomial probability:
Probability of exactly x sucesses on n repeated trials, with a p probability.
He surveyes 1200 likely voters, so
He believes he could gain the support of 25% of likely voters. So .
The correct answer is:
The sampling distribution of X is exactly binomial with n = 1200 and p = 0.25