Answer :
Final answer:
The probability is 0.9974, or about 99.74%, as there is only one possible outcome where the new llama weighs more than 731 pounds.
Explanation:
First, we need to find out the average weight of a llama. To do this, we divide the total weight of all llamas (46,869 pounds) by the total number of llamas (121).
46,869 pounds/121 = 387.35 pounds.
So the average weight of a llama is 387.35 pounds.
Now, the bridge can still hold 1 extra pound before it breaks, which means the maximum weight allowed for the new llama to safely cross the bridge is 1 pound.
We now want to find the probability that the new llama will weigh more than 1 pound and break the bridge.
Since we're assuming there's a linear increase in weight per llama and that the probability is uniformly distributed for all llamas from 0 to the allowed weight for the new llama, the probability is equal to the difference between the average weight of a llama and the allowed weight, divided by the average weight of a llama
So the probability that the new llama will weigh more than 1 pound and break the bridge is 0.9974, or about 99.74%. This means there's a very high chance that the bridge will break if another llama tries to cross.
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