Question

A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of

187

lb and a standard deviation of

39

lb. The gondola has a stated capacity of

25

​passengers, and the gondola is rated for a load limit of

3500

lb. Complete parts​ (a) through​ (d) below.

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

a) Maximum mean weight = Total load limit / number of passengers

                                           = 3500 / 25

                                           = 140 lb