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An elevator has a placard stating that the maximum capacity is 2052 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2052/12 = 171 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 171 lb. (Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 33 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. No, 12 randomly selected people will never be under the weight limit. OC. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity. O D. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity.

An elevator has a placard stating that the maximum capacity is 2052 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2052/12 = 171 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 171 lb. (Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 33 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. No, 12 randomly selected people will never be under the weight limit. OC. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity. O D. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An elevator has a placard stating that the maximum capacity is 2052 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2052/12=171 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have mean weight greater than 171 lb. (Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 33 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? C O A. Yes, 12 randomly selected adult male passengers will always be under the weight limit. O B. No, 12 randomly selected people will never be under the weight limit. O C. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity. O D. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity.
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 2052 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2052/12=171 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have mean weight greater than 171 lb. (Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 33 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? C O A. Yes, 12 randomly selected adult male passengers will always be under the weight limit. O B. No, 12 randomly selected people will never be under the weight limit. O C. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity. O D. Yes, there is a good chance that 12 randomly selected people will not exceed the elevator capacity.
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