An elevator has a placard stating that the maximum capacity is 2610 lb—15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2610/15=174 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 174 lb.​ (Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 26 lb .) Does this elevator appear to be​ safe? 1. The probability the elevator is overloaded is____ 2. Does the elevator appear safe? (choose the best answer below) A - No, 15 randomly selected people will never be under wright B - Yes, 15 randomly selected adult male passengers will always be under the weight limit. C - No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity. D - Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.

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An elevator has a placard stating that the maximum capacity is 2610 lb—15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2610/15=174 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 174 lb.​ (Assume that weights of males are normally distributed with a mean of 177 lb and a standard deviation of 26 lb .)

Does this elevator appear to be​ safe?

1. The probability the elevator is overloaded is____

2. Does the elevator appear safe? (choose the best answer below)

A - No, 15 randomly selected people will never be under wright

B - Yes, 15 randomly selected adult male passengers will always be under the weight limit.

C - No, there is a good chance that 15 randomly selected adult male passengers will exceed the elevator capacity.

D - Yes, there is a good chance that 15 randomly selected people will not exceed the elevator capacity.

Expert Solution
Step 1

Given information:

Maximum capacity of an elevator = 2610 lb

Number of passengers n=15

Mean weight of each passenger X¯=174

Population mean weight of males μ=177 lb

Population standard deviation of males σ=26 lb

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