High School

We appreciate your visit to A water taxi carries passengers from one port to another Assume that the weights of passengers are normally distributed with a mean of 182 lbs. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

A water taxi carries passengers from one port to another. Assume that the weights of passengers are normally distributed with a mean of 182 lbs and a standard deviation of 26 lbs. The water taxi has a stated capacity of 25 passengers, and it was rated for a load limit of 3000 lbs. Complete the parts below.

a. Given that the water taxi was rated for a load limit of 3500 lbs, what is the maximum mean weight of the passengers if the water taxi carries 25 passengers?

Enter the maximum mean weight (Type an integer or a decimal. Do not round.)

Answer :

Final answer:

The maximum weight for 25 passengers in the water taxi, given the provided conditions, is approximately 5614.41 lb.

Explanation:

Given that the weight of the passengers is normally distributed with a mean of 182 lb and a standard deviation of 266, we can apply the rules of a normal distribution to solve this problem.

First, let's calculate the total allowable weight for all passengers. This is done by subtracting the weight of the water taxi when empty (3500 lb) from the maximum load (30000 lb). That leaves us with a total passenger weight capacity of 26500 lb.

To find the maximum weight for 25 passengers, we divide the total allowable weight by the stated capacity of the water taxi (118 passengers), and then multiply that result by 25. So, the maximum weight for 25 passengers would be :

(26500/118)*25 = 5614.41 lb

Note:

This calculation assumes the weight is evenly distributed across all passengers, which might not always be the case in real life.

Learn more about Normal Distribution here:

https://brainly.com/question/30390016

#SPJ11

Thanks for taking the time to read A water taxi carries passengers from one port to another Assume that the weights of passengers are normally distributed with a mean of 182 lbs. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada