The capacity of an elevator is 10 people or 1760 pounds. The capacity will be exceeded if 10 people have weights with a mean greater than 1760/10=176 pounds. Suppose the people have weights that are normally distributed with a mean of 179 lb and a standard deviation of 30 lb.
a. find the probability that if a person is randomly selected, his weight will be greater than 176 pounds. The probability is approximately ___
b. Find the probability that 10 randomly selected people will have a neam that is greater than 176 pounds.
Statistics and Probability The probability is approximately ___
c. Does the elevator appear to have the correct weight limit