6. A boat capsized and sank in a lake. Based on an assumption of a mean weight of 136 lb, the boat was rated to carry 70 passengers (so the load limit was 9,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 136 lb to 172 lb. Complete parts a and b below. ABTOTALITA www HASTATAVA www.m MANZANARIAS Aiden 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 176.8 lb and a standard deviation of 38.7 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight-greater than 136 lb. WARPAR ADDANNE b. The boat was later rated to carry only 35 passengers, and the load limit was changed to 2,752 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 172 (so that their total weight is greater than the maximum capacity of 2,752 lb). Lindesbe *W Do the new ratings appear to be safe when the boat is loaded with 35 passengers? Choose the correct answer →→below. canned with CamScanner

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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6. A boat capsized and sank in a lake. Based on an assumption of a mean weight of 136 lb, the boat was rated to
carry 70 passengers (so the load limit was 9,520 lb). After the boat sank, the assumed mean weight for similar boats
was changed from 136 lb to 172 lb. Complete parts a and b below.
CA
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 176.8 lb and a standard deviation of 38.7 lb. Find the probability that the boat is
overloaded because the 70 passengers have a mean weight-greater than 136 lb.
THE PAN
b. The boat was later rated to carry only 35 passengers, and the load limit was changed to 2,752 lb. Find the
probability that the boat is overloaded because the mean weight of the passengers is greater than 172 (so that their
total weight is greater than the maximum capacity of 2,752 lb).
TAN
EN
Do the new ratings appear to be safe when the boat is loaded with 35 passengers? Choose the correct answer
below.
CS Scanned with CamScanner
www
Transcribed Image Text:10 6. A boat capsized and sank in a lake. Based on an assumption of a mean weight of 136 lb, the boat was rated to carry 70 passengers (so the load limit was 9,520 lb). After the boat sank, the assumed mean weight for similar boats was changed from 136 lb to 172 lb. Complete parts a and b below. CA 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 176.8 lb and a standard deviation of 38.7 lb. Find the probability that the boat is overloaded because the 70 passengers have a mean weight-greater than 136 lb. THE PAN b. The boat was later rated to carry only 35 passengers, and the load limit was changed to 2,752 lb. Find the probability that the boat is overloaded because the mean weight of the passengers is greater than 172 (so that their total weight is greater than the maximum capacity of 2,752 lb). TAN EN Do the new ratings appear to be safe when the boat is loaded with 35 passengers? Choose the correct answer below. CS Scanned with CamScanner www
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