Sampling Distribution of p

Question 1 out of 3.

The binomial distribution is the distribution of the total number of successes whereas the distribution of $p$ is: 

1. the distribution of the mean number of successes
2. the distribution of the total number of failures
3. the distribution of the ratio of successes to failures
4. a distribution with a mean of $.5$

Question 2 out of 3.

Out of $300$ students in the school, $225$ passed an exam. What would be the mean of the sampling distribution of the proportion of students who passed the exam in the school?

Question 3 out of 3.

Out of $300$ students in the school, $225$ passed an exam. You take a sample of $10$ of these students. What is the standard error of $p$?