3) According to a recent national survey, 75% of college students admit to dozing off during their remote zoom lectures. Assume this percentage represents the true population proportion of all college students attending remote zoom lectures. If a random sample of 1200 college students attending remote zoom lessons is selected, then: a) State the mean and standard error of the SAMPLING DISTRIBUTION using the proper notation. Mean: ( to 2 decimal places) STD Error: ( to 4 decimal places) b) Can the sampling distribution be approximated by a normal distribution? If yes, then state why. If not, then what distribution can be used. You must show work to support your answer to receive credit. c) Using the sampling distribution, calculate the probability (to 4 decimal places) of selecting a random sample containing at least 78% college students who dozed off during their remote zoom lessons. i) Draw graph representing the sampling distribution below & shade area representing the probability on graph ii) MUST Show all work! Include the calculator function(s) with input values you used to solve this