An elevator has a placard stating that the maximum capacity is 1328 Ib-8 passengers. So, 8 adult male passengers can have a mean weight of up to 1328/8= 166 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 166 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 30 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. No, there is a good chance that 8 randomly selected people will exceed the elevator capacity. O B. No, 8 randomly selected people will never be under the weight limit. O C. Yes, there is a good chance that 8 randomly selected people will not exceed the elevator capacity. O D. Yes, 8 randomly selected people will always be under the weight limit.

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Author:Amos Gilat
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An elevator has a placard stating that the maximum capacity is 1328 lb—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1328 / 8 = 166 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 166 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 30 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?

- A. No, there is a good chance that 8 randomly selected people will exceed the elevator capacity.
- B. No, 8 randomly selected people will never be under the weight limit.
- C. Yes, there is a good chance that 8 randomly selected people will not exceed the elevator capacity.
- D. Yes, 8 randomly selected people will always be under the weight limit.
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 1328 lb—8 passengers. So, 8 adult male passengers can have a mean weight of up to 1328 / 8 = 166 pounds. If the elevator is loaded with 8 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 166 lb. (Assume that weights of males are normally distributed with a mean of 171 lb and a standard deviation of 30 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? - A. No, there is a good chance that 8 randomly selected people will exceed the elevator capacity. - B. No, 8 randomly selected people will never be under the weight limit. - C. Yes, there is a good chance that 8 randomly selected people will not exceed the elevator capacity. - D. Yes, 8 randomly selected people will always be under the weight limit.
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