Yesterday, I got into an elevator in a shopping mall which says the maximum capacity is for 750 kg. There were 10 people in the elevator. I know from Wikipedia that the weight distribution of people in Turkey has a mean of 72 kg with a standard deviation of 10 kg. What is the approximate probability that the total weight of people in the elevator is larger than the permitted limit 750kg?
ANSWER: Probabailty that the total weight of people in the elevator is larger than the permitted weight of 750 kg is 0.171.
The detailed solution is given in the attached file.Hope this helps.
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