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An elevator has a placard stating that the maximum capacity is 2064 Ib-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2064 / 12 = 172 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 172 lb. (Assume that weights of males are normally distributed with a mean of 178 Ib and a standard deviation of 32 Ib.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.) Does this elevator appear to be safe? O A. Yes, 12 randomly selected adult male passengers will always be under the weight limit. O B. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity. OC. No, 12 randomly selected people will never be under the weight limit. O D. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

An elevator has a placard stating that the maximum capacity is 2064 Ib-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2064 / 12 = 172 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 172 lb. (Assume that weights of males are normally distributed with a mean of 178 Ib and a standard deviation of 32 Ib.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.) Does this elevator appear to be safe? O A. Yes, 12 randomly selected adult male passengers will always be under the weight limit. O B. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity. OC. No, 12 randomly selected people will never be under the weight limit. O D. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

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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An elevator has a placard stating that the maximum capacity is 2064 lb–12 passengers. So, 12 adult male passengers can have a mean weight of up to 2064 / 12 = 172 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 172 lb. (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 32 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.) Does this elevator appear to be safe? O A. Yes, 12 randomly selected adult male passengers will always be under the weight limit. O B. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity. OC. No, 12 randomly selected people will never be under the weight limit. O D. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 2064 lb–12 passengers. So, 12 adult male passengers can have a mean weight of up to 2064 / 12 = 172 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 172 lb. (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 32 lb.) Does this elevator appear to be safe? The probability the elevator is overloaded is (Round to four decimal places as needed.) Does this elevator appear to be safe? O A. Yes, 12 randomly selected adult male passengers will always be under the weight limit. O B. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity. OC. No, 12 randomly selected people will never be under the weight limit. O D. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 126 Ib and a standard deviation of 32.8 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. ..... a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 181 lb. The probability is approximately |. (Round to four decimal places as needed.) b. If 40 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 181 lb. The probability is approximately : (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (a) because the seat performance for a single pilot is more important. B. Part (b) because the seat performance for a sample of pilots is more important. O C. Part (a) because the seat performance for a sample of pilots is more mportant. D. Part (b) because the seat performance for a single pilot is more important.
Transcribed Image Text:An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 181 lb. The new population of pilots has normally distributed weights with a mean of 126 Ib and a standard deviation of 32.8 lb. Click here to view page 1 of the standard normal distribution. Click here to view page 2 of the standard normal distribution. ..... a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 181 lb. The probability is approximately |. (Round to four decimal places as needed.) b. If 40 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 181 lb. The probability is approximately : (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant? O A. Part (a) because the seat performance for a single pilot is more important. B. Part (b) because the seat performance for a sample of pilots is more important. O C. Part (a) because the seat performance for a sample of pilots is more mportant. D. Part (b) because the seat performance for a single pilot is more important.
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