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An elevator has a placard stating that the maximum capacity is 2100 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2100/12 = 175 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 175 lb. (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 25 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. O C. 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 2100 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2100/12 = 175 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 175 lb. (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 25 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. O C. 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.

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
Section10.3: Measures Of Spread
Problem 26PFA
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An elevator has a placard stating that the maximum capacity is 2100 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2100/12= 175 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 175 lb. (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 25 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. O C. 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 2100 lb-12 passengers. So, 12 adult male passengers can have a mean weight of up to 2100/12= 175 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 175 lb. (Assume that weights of males are normally distributed with a mean of 178 lb and a standard deviation of 25 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. O C. 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.
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