A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 182 Ib and a standard deviation of 36 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 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. (Type an integer or a decimal. Do not round.)

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### Problem Statement

A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 182 lb and a standard deviation of 36 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 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.**
(Type an integer or a decimal. Do not round.) 

### Explanation

This exercise involves calculating the maximum mean weight of passengers to ensure that the total weight does not exceed the gondola's load limit. Given the parameters, you'll calculate the mean weight by dividing the total allowable weight by the maximum number of passengers.

There are no graphs or diagrams included in this problem.
Transcribed Image Text:### Problem Statement A ski gondola carries skiers to the top of a mountain. Assume that weights of skiers are normally distributed with a mean of 182 lb and a standard deviation of 36 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 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.** (Type an integer or a decimal. Do not round.) ### Explanation This exercise involves calculating the maximum mean weight of passengers to ensure that the total weight does not exceed the gondola's load limit. Given the parameters, you'll calculate the mean weight by dividing the total allowable weight by the maximum number of passengers. There are no graphs or diagrams included in this problem.
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