"ATTENTION: THIS IS A QUIZ - DO NOT PROVIDE/RECEIVE ANY HELP ON THIS ASSIGNMENT "" 3) According to a national survey of college students, the average length of an admissions essay is 624 words with a standard deviation of 40 words. The freshman at a particular school are randomly FA - assigned into groups of 30 for required writing seminars. a) What is the probability that a randomly chosen freshman has an admissions essay longer than 650 words (1 point)? Pause % 4 5 b) What is the probability that one of the writing seminars has an average admissions essay shorter 9 Up R than 600 words (2 points)? Dn F 4) A waiter believes the distribution of his tips has a model that is slightly skewed to the right, with a mean of $8.50 and a standard deviation of $4.60. V a) Explain why you cannot estimate the probability that the next 4 parties will tip an average of at least $15 (1 point). b) On an average weekend, he serves 40 tables. Estimate the probability that he will earn at least $10.50 per table on such weekends, or at least $420 per weekend (2 points). c) How much does he earn on the best 10% of such weekends, i.e. 40 tables per weekend (1 point)