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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 137 lb, the boat was rated to carry 70 passengers (so the load limit was 9,590 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 137 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 177.6 lb and a standard deviation of 39.1 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 137 lb. The probability is . (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,907 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,907 Ib). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 17 passengers? Choose the correct answer below. A. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 17 passengers. O B. Because 177.6 is greater than 171, the new ratings do not appear to be safe when the boat is loaded with 17 passengers. O C. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 17 passengers. O D. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe.

A boat capsized and sank in a lake. Based on an assumption of a mean weight of 137 lb, the boat was rated to carry 70 passengers (so the load limit was 9,590 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 137 lb to 171 lb. Complete parts a and b below. a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 177.6 lb and a standard deviation of 39.1 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 137 lb. The probability is . (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,907 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,907 Ib). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 17 passengers? Choose the correct answer below. A. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 17 passengers. O B. Because 177.6 is greater than 171, the new ratings do not appear to be safe when the boat is loaded with 17 passengers. O C. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 17 passengers. O D. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question Help A boat capsized and sank in a lake. Based on an assumption of a mean weight of 137 lb, the boat was rated to carry 70 passengers (so the load limit was 9,590 lb). After the boat sank, the assumed mean weight for similar boats was changed from 137 lb to 171 lb. Complete parts a and b below. ts a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 177.6 lb and a standard deviation of 39.1 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 137 lb. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,907 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,907 lb). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 17 passengers? Choose the correct answer below. A. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 17 passengers. B. Because 177.6 is greater than 171, the new ratings do not appear to be safe when the boat is loaded with 17 passengers. O C. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 17 passengers. OD. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe. Click to select your answer(s).
Transcribed Image Text:Question Help A boat capsized and sank in a lake. Based on an assumption of a mean weight of 137 lb, the boat was rated to carry 70 passengers (so the load limit was 9,590 lb). After the boat sank, the assumed mean weight for similar boats was changed from 137 lb to 171 lb. Complete parts a and b below. ts a. Assume that a similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 177.6 lb and a standard deviation of 39.1 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 137 lb. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 17 passengers, and the load limit was changed to 2,907 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 171 (so that their total weight is greater than the maximum capacity of 2,907 lb). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat is loaded with 17 passengers? Choose the correct answer below. A. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 17 passengers. B. Because 177.6 is greater than 171, the new ratings do not appear to be safe when the boat is loaded with 17 passengers. O C. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 17 passengers. OD. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe. Click to select your answer(s).
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