Sampling Distribution of p

Questions

Question 1 out of 3.
The binomial distribution is the distribution of the total number of successes whereas the distribution of \(p\) is:

the distribution of the mean number of successes

the distribution of the total number of failures

the distribution of the ratio of successes to failures

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 \(p\)?