According to a recent study, 30% of American college students graduate with no student loan debt. Suppose we obtain a random sample of 136 American college students and record whether or not they have student loan debt.

1)What is the mean of the distribution of^p?

2) What is the standard deviation of the distribution of^p?

3) What is the probability that more than 41 of the students in the sample will have graduated with no student loan debt?