A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally...
Fantastic news! We've Found the answer you've been seeking!
Question:
![image text in transcribed](https://s3.amazonaws.com/si.experts.images/answers/2024/06/665ae5b58ea48_076665ae5b4e2487.jpg)
Transcribed Image Text:
A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 184 lb and a standard deviation of 35 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is 140 lb. (Type an integer or a decimal. Do not round.) b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is 1. (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their mean weight exceeds 175 lb, which is the maximum mean weight that does not cause the total load to exceed 3500 lb? The probability is 0.8749. (Round to four decimal places as needed.) d. Is the new capacity of 20 passengers safe? Since the probability of overloading is the new capacity to be safe enough. A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 184 lb and a standard deviation of 35 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3500 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3500 lb, what is the maximum mean weight of the passengers if the water taxi is filled to the stated capacity of 25 passengers? The maximum mean weight is 140 lb. (Type an integer or a decimal. Do not round.) b. If the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the value from part (a)? The probability is 1. (Round to four decimal places as needed.) c. If the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with 20 randomly selected passengers, what is the probability that their mean weight exceeds 175 lb, which is the maximum mean weight that does not cause the total load to exceed 3500 lb? The probability is 0.8749. (Round to four decimal places as needed.) d. Is the new capacity of 20 passengers safe? Since the probability of overloading is the new capacity to be safe enough.
Expert Answer:
Posted Date:
Students also viewed these mathematics questions
-
Katie Homes and Garden Co. has 10,640,000 shares outstanding. The stock is currently selling at $52 per share. If an unfriendly outside group acquired 25 percent of the shares, existing stockholders...
-
On April 1, Year 1, Greenway Corporation issues $20 million of 10%, 20-year bonds payable at par. Interest on the bonds is payable semiannually each April 1 and October 1. The journal entry to record...
-
Mr. Litz hires a liquidator to help him. Through this person's services, the accounts receivable are collected in full. The supplies are sold for $500; the equipment is sold for $2,000; the boats are...
-
A business has monthly selling expenses of $ 50,000 and administration of $ 80,000. Current monthly sales are 8,000 units at a unit price of $ 350. Its cost of sales is $ 1,344,000 per month. a....
-
2. ABC Company paid $2,400 for a two-year insurance policy on January 1 of the current year. Prepare the required adjustment for the expired insurance at the end of the current year. Credit 3. ABC...
-
82. Ex 26-18 1 7.15 Saved Phoenix Company is considering investments in projects C1 and C2. Both require an initial investment of $318,000 and would yield the following annual net cash flows. (PV of...
-
1. Define and Describe Distribution Channel strategies and examples. 2. Define and Describe what a concept of a Channel Conflict 3. Describe the promotional mix options incorporated to make...
-
4 M11-6 (Algo) Calculating Net Present Value [LO 11-3] 15 points eBook Print References Citrus Company is considering a project with estimated annual net cash flows of $40,470 for six years that is...
-
The function sqrt from the header file cmath can be used to find the square root of a nonnegative real number. Using Newtons method, you can also write an algorithm to find the square root of a...
-
As MADD executive director Chuck Hurley describes it, Before the 1980s, drunk driving was how people got home. It was normal behavior. In May of that year, Candy Lightner's 13-year-old daughter was...
-
In the early 1990s, most programs that were working to alleviate homelessness in American cities followed a similar model. Homeless men and women could visit shelters, but could not obtain permanent...
-
In the late 19th century, more than half of all Americans lived on farms. New farming techniques, based on science, were being developed through university research, but older generations of farmers...
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App