An elevator has a placard stating that the maximum capacity is 2400 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2400/15-160 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 160 lb. (Assume that weights of males are normally distributed with a mean of 170 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? OA. No, 15 randomly selected people will never be under the weight limit. OB. Yes, 15 randomly selected adult male passengers will always be under the weight limit. OC. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity. OD. No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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An elevator has a placard stating that the maximum capacity is 2400 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to
2400/15-160 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight
greater than 160 lb. (Assume that weights of males are normally distributed with a mean of 170 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?
OA. No, 15 randomly selected people will never be under the weight limit.
OB. Yes, 15 randomly selected adult male passengers will always be under the weight limit.
OC. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.
OD. No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity.
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 2400 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2400/15-160 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 160 lb. (Assume that weights of males are normally distributed with a mean of 170 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? OA. No, 15 randomly selected people will never be under the weight limit. OB. Yes, 15 randomly selected adult male passengers will always be under the weight limit. OC. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity. OD. No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity.
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,