An elevator can safely hold 3,500 lbs. a sign in the elevator limits the passenger count to 15. if the adult population has a mean weight of 180 lbs with a 25 lbs standard deviation, how unusual would it be, if the central limit theorem applied, that an elevator holding 15 people would be carrying more than 3,500 pounds? (hint: if x is a random variable indicating a person’s weight, then assume x normal( = 180; 2 = 252); use related d, p, q, and r functions to get the numerical answer.)