"The weights of adult men are approximately Normally distributed with a mean of 170 pounds and a standard deviation of 30 pounds. The weights of adult women are approximately Normally distributed with a mean of 140 pounds and a standard deviation of 20 pounds.
An elevator in a small apartment building has a maximum weight capacity of 550 pounds. If two men and one woman (everyone randomly-selected of course) get on the elevator, what is the probability that they exceed the maximum capacity?"
I combined the means and SDs and got 0.068. My friends all got a different answer and the teacher marked it right.
Could someone confirm if 0.068 is the answer? Because i thought i did all the steps correctly.
thanks!
An elevator in a small apartment building has a maximum weight capacity of 550 pounds. If two men and one woman (everyone randomly-selected of course) get on the elevator, what is the probability that they exceed the maximum capacity?"
I combined the means and SDs and got 0.068. My friends all got a different answer and the teacher marked it right.
Could someone confirm if 0.068 is the answer? Because i thought i did all the steps correctly.
thanks!