An elevator has a placard stating that the maximum capacity is 2670 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2670/15=178 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 178 lb. (Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 27 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, 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Problem Statement:**

An elevator has a placard stating that the maximum capacity is 2670 lb, accommodating 15 passengers. Therefore, each of the 15 adult male passengers can have a mean weight of up to 2670/15 = 178 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 178 lb. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 27 lb. Does this elevator appear to be safe?

**Calculation Prompt:**

The probability the elevator is overloaded is ________.  
(Round to four decimal places as needed.)

**Safety Evaluation:**

Does this elevator appear to be safe?

- A. No, 15 randomly selected people will never be under the weight limit.
- B. Yes, 15 randomly selected adult male passengers will always be under the weight limit.
- C. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.
- D. No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity.

This problem involves determining whether the elevator can safely accommodate 15 adult male passengers without exceeding the weight limit, based on a statistical analysis of their weights.
Transcribed Image Text:**Problem Statement:** An elevator has a placard stating that the maximum capacity is 2670 lb, accommodating 15 passengers. Therefore, each of the 15 adult male passengers can have a mean weight of up to 2670/15 = 178 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 178 lb. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 27 lb. Does this elevator appear to be safe? **Calculation Prompt:** The probability the elevator is overloaded is ________. (Round to four decimal places as needed.) **Safety Evaluation:** Does this elevator appear to be safe? - A. No, 15 randomly selected people will never be under the weight limit. - B. Yes, 15 randomly selected adult male passengers will always be under the weight limit. - C. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity. - D. No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity. This problem involves determining whether the elevator can safely accommodate 15 adult male passengers without exceeding the weight limit, based on a statistical analysis of their weights.
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