An elevator company has conducted a study and determined the average adult weight is 65Kg with a standard deviation of 15kg. The distribution is approximately normally distributed.
a. What is the probability an individual weighs more than 95Kg?
b. The company has decided that the elevator will have a capacity of 5 people and a maximum load of 475 Kg. What is the probability that load will be exceeded if there are 5 people in the elevator?
The company also makes another elevator that can hold 10 people and has a maximum capacity of 950 kg. What is the probability 10 people will exceed the maximum load?
What assumptions are we making about people getting in elevators?