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 problem.