I need some help for my homework.
On an airplane, 300 passengers will travel, whose weights are random and independent. The expectation of the total weight of all passengers is known to be 21000 kg. Every passenger is at least 10 kg heavy, and none of them can weigh more than 150 kg. How much weight should the airplane be able to lift (counting passengers only), if we want to be $1-10^{-8}$ sure that the total weight of passengers doesn't exceed that?
How I start on this question? I have no idea on starting the question.
Since you aren't given the probability distribution, but are given that there is a well-defined expectation, there's only one option that remains (as far as I know):