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a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 173.7 lb and a standard deviation of 38.4 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 140 lb. The probability is 1.0000 (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,720 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 170 (so that their total weight is greater than the maximum capacity of 2,720 lb). The probability is. (Round to four decimal places as needed.)

a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 173.7 lb and a standard deviation of 38.4 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 140 lb. The probability is 1.0000 (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,720 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 170 (so that their total weight is greater than the maximum capacity of 2,720 lb). The probability is. (Round 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
Section10.4: Distributions Of Data
Problem 19PFA
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A boat capsized and sank in a lake. Based on an assumption of a mean weight of 140 Ib, the boat was rated to carry 50 passengers (so the load limit was 7,000 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 140 lb to 170 Ib. Complete parts a and b below. a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 173.7 Ib and a standard deviation of 38.4 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 140 Ib. The probability is 1.0000'. (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,720 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 170 (so that their total weight is greater than the maximum capacity of 2,720 Ib). The probability is N (Round to four decimal places as needed.)
Transcribed Image Text:A boat capsized and sank in a lake. Based on an assumption of a mean weight of 140 Ib, the boat was rated to carry 50 passengers (so the load limit was 7,000 Ib). After the boat sank, the assumed mean weight for similar boats was changed from 140 lb to 170 Ib. Complete parts a and b below. a. Assume that a similar boat is loaded with 50 passengers, and assume that the weights of people are normally distributed with a mean of 173.7 Ib and a standard deviation of 38.4 lb. Find the probability that the boat is overloaded because the 50 passengers have a mean weight greater than 140 Ib. The probability is 1.0000'. (Round to four decimal places as needed.) b. The boat was later rated to carry only 16 passengers, and the load limit was changed to 2,720 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 170 (so that their total weight is greater than the maximum capacity of 2,720 Ib). The probability is N (Round to four decimal places as needed.)
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