A study conducted by the Center for Disease Control that asked 15,000 students about their sleep habits showed that about 73% of high school students did not get the required 8 hours of sleep per night. Let p be the proportion of high school students who do not get 8 hours of sleep daily. 1.What is the mean of the sampling distribution of p?

2. Find the standard deviation of the sampling distribution of p. Round to 4 decimal places. ( decimal form pls obvi )

3. Find the probability of selecting a sample of 15,000 students in which between 70% and 75% of the students did not get 8 hours of sleep every day.