Answer to Question #150602 in Statistics and Probability for Vladimyr Lubin

Question

(6.4.13) A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 183lb and a standard deviation of 40 lb. The gondola has a stated capacity of 25 ​passengers, and the gondola is rated for a load limit of 3500lb.
a. Given that the gondola is rated for a load limit of 3500​lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of 25 ​passengers?
The maximum mean weight is ? lb.

Answer 1

if the gondola has a limit of 3500 lb and filled with 25 passengers, the maximum mean weight of passengers should be;

=$\frac {3500}{25}$

=140 lb