Question

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

188

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.

a. Given that the gondola is rated for a load limit of

35003500

​lb, what is the maximum mean weight of the passengers if the gondola is filled to the stated capacity of

2525

​passengers?The maximum mean weight is

140140

lb.

​(Type an integer or a decimal. Do not​ round.)

b. If the gondola is filled with

25

randomly selected​ skiers, what is the probability that their mean weight exceeds the value from part​ (a)?The probability is

0.3750.

​(Round to four decimal places as​ needed.)

Answer 1

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-6.15, TRUE)" to find the probability.