00:01
A ski gondola carries skiers to the top of a mountain, assume the weights of skiers are normally distributed with a mean of 196 and a standard deviation of 43.
00:10
The gondola has a stated capacity of 25 passengers, and the gondola is rated for a load limit of 3 ,750.
00:19
So given that the gondola is rated for a load limit of 3 ,750, what's the maximum weight capacity for the passengers? so we're going to take 3 ,750, and we're going to divide that by the 25 person capacity, and that gives us a load limit of 150 pounds.
00:44
If the gondola is filled with 25 randomly selected skiers, what's the probability that their mean weight exceeds the value from part a? so we know that the skiers, we have our weight of 196 and our standard deviation.
00:58
So we're trying to figure out what's the probability that x is greater than 150.
01:06
So first we have to calculate a standard error.
01:09
So since we have 25 passengers, our standard error is going to be 43 divided by the square rate of 25, which is 8 .6...