five Continuous random distributions Two questions 20 points each Problem one The NCAA estimates that the yearly value of a full athletic scholarship at an in-state public university is $19,000. Assume that the scholarship value is normally distributed with a standard deviation of $2100.00. a) for 10% of the athletic scholarships of least vaalue, how much are they worth? b) what percentage of athletic scholarships are valued at %20,00 or more c) For the 3% of athletic scholarships that are most valuable, how much are they worth? Problem two Duiring early 2012 economic hardship was stretching the limits of France's welfare system. One indicator of the level of ha was the increase in number of people bring items a Paris pawnbroker; the number of people bringing items had increased per day. Assume the number of people bringing items of the pawnshop per day in 20122 is normally distributed with a me a) Suppose you learn that on 3% of the days 610 or fewer people brought items to the pawnshop. What is the s of the number of people bring items to the pawnshop per day? b) On any giving day, what is the probability that between 600 and 700 people bringing items to the pawnshop? c) How many people bring items to the pawnship on the busiest 3% of days? sity is $19,000. ndicator of the level of hardship nging items had increased to 658 mally distributed with a mena of 658 pawnshop. What is the standard deviation g items to the pawnshop