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.)

Step-by-step explanation:

If, collectively, 15 people weigh more than 3500 pounds, that means each person must weigh more than 3500/15 = 233.33 pounds.

If the distribution for population weights is normal at mean = 180 and standard deviation = 25 lbs, that means the probability for 1 person to weigh higher than 233 lbs is

For all 15 people to have higher weigh than that then the probability is

This is indeed very unlikely to happen

32

step-by-step explanation:

step-by-step explanation:

because it just is