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.Letbe the proportion of high school students who do not get 8 hours of sleep daily.

What is the mean of the sampling distribution of ?

Find the standard deviation of the sampling distribution of . Round to the nearest thousandth.

Find the probability of selecting a sample of 15000 students in which between 70% and 75% of the students did not get 8 hours of sleep every day.