A boat capsized and sank in a lake. Based on an assumption of a mean weight of 135 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,450 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 135 Ib to 175 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 181.9 Ib and a standard deviation of 35.1 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 135 lb. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,275 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 175 (so that their total weight is greater than the maximum capacity of 2,275 Ib). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat loaded with 13 passengers? Choose the correct answer below. O A. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 13 passengers. O B. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe. OC. Because 181.9 is greater than 175, the new ratings do not appear to be safe when the boat is loaded with 13 passengers. O D. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 13 passengers.
A boat capsized and sank in a lake. Based on an assumption of a mean weight of 135 Ib, the boat was rated to carry 70 passengers (so the load limit was 9,450 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 135 Ib to 175 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 181.9 Ib and a standard deviation of 35.1 Ib. Find the probability that the boat is overloaded because the 70 passengers have a mean weight greater than 135 lb. The probability is (Round to four decimal places as needed.) b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,275 Ib. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 175 (so that their total weight is greater than the maximum capacity of 2,275 Ib). The probability is (Round to four decimal places as needed.) Do the new ratings appear to be safe when the boat loaded with 13 passengers? Choose the correct answer below. O A. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 13 passengers. O B. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe. OC. Because 181.9 is greater than 175, the new ratings do not appear to be safe when the boat is loaded with 13 passengers. O D. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 13 passengers.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:A boat capsized and sank in a lake. Based on an assumption of a mean weight of 135 lb, the boat was rated to carry 70 passengers (so the load limit was 9,450 Ib). After the boat sank, the assumed mean weight for similar boats was changed
from 135 lb to 175 lb. Complete parts a and b below.
a. Assume that
similar boat is loaded with 70 passengers, and assume that the weights of people are normally distributed with a mean of 181.9 Ib and a standard deviation of 35.1 Ib. Find the probability that the boat is overloaded because the
70 passengers have a mean weight greater than 135 Ib.
The probability is
(Round to four decimal places as needed.)
b. The boat was later rated to carry only 13 passengers, and the load limit was changed to 2,275 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 175 (so that their total weight is
greater than the maximum capacity of 2,275 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 13 passengers? Choose the correct answer below.
O A. Because there is a high probability of overloading, the new ratings do not appear to be safe when the boat is loaded with 13 passengers.
O B. Because the probability of overloading is lower with the new ratings than with the old ratings, the new ratings appear to be safe.
O C. Because 181.9 is greater than 175, the new ratings do not appear to be safe when the boat is loaded with 13 passengers.
O D. Because there is a high probability of overloading, the new ratings appear to be safe when the boat is loaded with 13 passengers.
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