12/7/2012

Central Limit Theorem

• Proof
• Examples
  • A sign on an elevator says "Max. Load = 2500 lbs, Max. Passenger = 16." Suppose that the mean weight in the population of people who use the elevator is 145 lbs and the standard deviation is 35 lbs. Assuming that 16 people are selected randomly from the population, what is the probability that the maximum load will be exceeded?
  • A poultry farmer has submitted an order for 30 black-winged chicks. Suppose that 1/4 of the chicks that hatch are black-winged. How many chicks must hatch for the farmer to be 99.87% sure of having at least 30 black-winged chicks?