The National Center for Education Statistics reports that the proportion of college freshmen who return to the same school for their sophomore year is0.69. Suppose we select a random sample of460freshmen from across the nation.

Question 1. What is the expected value of the sampling distribution model for the proportion of460freshmen that will return to the same school for their sophomore year?

Question 2. What is the standard deviation of the sampling distribution model for the proportion of460freshmen that will return to the same school for their sophomore year?

(Round to 3 decimal places)

Question 3. What is the probability that the proportion of these460freshmen that return to the same school for their sophomore year is less than0.72?

(Round to 4 decimal places)