Page 1 of 1

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

Posted: Mon Jul 11, 2022 11:55 am
by answerhappygod
A ski gondola carries skiers to the top of a mountain. Assumethat weights of skiers are normally distributed with a mean of 202lb and a standard deviation of 40
lb. The gondola has a stated capacity of 25 passengers, and thegondola is rated for a load limit of 3750
lb. Complete parts​ (a) through​ (d) below.
a. Given that the gondola is rated for a loadlimit of 3750
​lb, what is the maximum mean weight of the passengers if thegondola is filled to the stated capacity of
25 passengers? The maximum mean weight is
150150
lb.
Part 2
b. If the gondola is filled with
25
randomly selected​ skiers, what is the probability thattheir mean weight exceeds the value from part​ (a)?
The probability is