An elevator has a placard stating that the maximum capacity is 2430 lb—15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2430/15=162 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 162 lb.​ (Assume that weights of males are normally distributed with a mean of 169 lb and a standard deviation of 29 lb​.) Does this elevator appear to be​ safe?

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An elevator has a placard stating that the maximum capacity is

2430
lb—15

passengers.​ So,

15

adult male passengers can have a mean weight of up to

2430/15=162 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

162

lb.​ (Assume that weights of males are normally distributed with a mean of

169 lb

and a standard deviation of

29 lb​.)

Does this elevator appear to be​ safe?

An elevator has a placard stating that the maximum capacity is 2430 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2430/ 15 = 162 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 162 Ib. (Assume that weights of males are normally distributed with a mean of 169 lb and a standard deviation of 29 Ib.) 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 15 randomly selected people will exceed the elevator capacity.
O B. Yes, 15 randomly selected people will always be under the weight limit.
O C. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.
O D. No, 15 randomly selected people will never be under the weight limit.
Transcribed Image Text:An elevator has a placard stating that the maximum capacity is 2430 lb-15 passengers. So, 15 adult male passengers can have a mean weight of up to 2430/ 15 = 162 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 162 Ib. (Assume that weights of males are normally distributed with a mean of 169 lb and a standard deviation of 29 Ib.) 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 15 randomly selected people will exceed the elevator capacity. O B. Yes, 15 randomly selected people will always be under the weight limit. O C. Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity. O D. No, 15 randomly selected people will never be under the weight limit.
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