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ater taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a n of 200 lb and a standard deviation of 38 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi rated for a load limit of 3750 lb. Complete parts (a) through (d) below. iven that the water taxi was rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the er taxi is filled to the stated capacity of 25 passengers? maximum mean weight is 150 lb. be an integer or a decimal. Do not round.) ... the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the e from part (a)? probability is 1. und to four decimal places as needed.) the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with andomly selected passengers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum an weight that does not cause the total load to exceed 3750 lb? probability is und to four decimal places as needed.)

ater taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a n of 200 lb and a standard deviation of 38 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi rated for a load limit of 3750 lb. Complete parts (a) through (d) below. iven that the water taxi was rated for a load limit of 3750 lb, what is the maximum mean weight of the passengers if the er taxi is filled to the stated capacity of 25 passengers? maximum mean weight is 150 lb. be an integer or a decimal. Do not round.) ... the water taxi is filled with 25 randomly selected passengers, what is the probability that their mean weight exceeds the e from part (a)? probability is 1. und to four decimal places as needed.) the weight assumptions were revised so that the new capacity became 20 passengers and the water taxi is filled with andomly selected passengers, what is the probability that their mean weight exceeds 187.5 lb, which is the maximum an weight that does not cause the total load to exceed 3750 lb? probability is und to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 200 lb and a standard deviation of 38 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3750 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 150 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 187.5 lb, which is the maximum mean weight that does not cause the total load to exceed 3750 lb? The probability is (Round to four decimal places as needed.)
Transcribed Image Text:A water taxi carries passengers from harbor to another. Assume that weights of passengers are normally distributed with a mean of 200 lb and a standard deviation of 38 lb. The water taxi has a stated capacity of 25 passengers, and the water taxi was rated for a load limit of 3750 lb. Complete parts (a) through (d) below. a. Given that the water taxi was rated for a load limit of 3750 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 150 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 187.5 lb, which is the maximum mean weight that does not cause the total load to exceed 3750 lb? The probability is (Round to four decimal places as needed.)
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