Recently the federal Department of Education reported that, nationally, the proportion of college fr

Recently the federal Department of Education reported that, nationally, the proportion of college freshmen that returned to the same school for their sophomore year was 0.7. Suppose we select a random sample of 500 freshmen from across the nation.

Question 1. What is the expected value of the sampling distribution model for the proportion of 500 freshmen that will return to the same school for their sophomore year? answer= 0.7

Question 2. What is the standard deviation of the sampling distribution model for the proportion of 500 freshmen that will return to the same school for their sophomore year?

Question 3. What is the probability that the proportion of these 500 freshmen that return to the same school for their sophomore year is less than 0.71?

I can't figure out the last 2 questions. Could someone please help me get started?

 

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