Weights of elephants approximately follow an exponential distribution with the mean of 2.5 tons. One hundred elephants are being transported on a ship that has a cargo limit of 300 tons. What is the chance this ship will sink?
I think i kind of understand this problem but unsure.
lambda = 1/2.5 = 0.40
exp. dist. x < 300
so 1- e^-(0.40)(100) = 1 so it will sink?