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Let's say the bridge is still standing because the 121 llamas weighed 46,869 pounds. Now, another llama is coming (which will make 122 llamas in total). What is the probability that this new llama will weigh more than 731 pounds and break the bridge?

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.

Learn more about Probability here:

https://brainly.com/question/32117953

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