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 be the proportion of high school students who do not get 8 hours of sleep daily. a. What is the mean of the sampling distribution of p?

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

Draw the curve of the sampling distribution of p. Use it to answer the following question.

c. 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. Round your answer to 4 decimal places.