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In one of the archaeological excavation sites, the artifact density (number of p

ID: 3323491 • Letter: I

Question

In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 1.5. Suppose you are going to dig up and examine liters of sediment at this site. Let r = 0, 1, 2, 3,… be a random variable that represents the number of prehistoric artifacts found in your 50 liters of sediment. The formula for the probability distribution of the random variable...

In one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 1.5. Suppose you are going to dig up and examine liters of sediment at this site. Let r 0, 1, 2, 3... be a random variable that represents the number of prehistoric artifacts found in your 50 liters of sediment. The formula for the probability distribution of the random variable r is given as P(r)- sediment. Round your answer to the nearest ten thousandth. e(75) 157.5 Find the probability that you will find fewer than 2 prehistoric artifacts in the 50 liters of

Explanation / Answer

probability that you find fewer than 2 prehistoric artifacts =P(X<2)=P(X=0)+P(X=1)

=e-7.5*7.50/0! +e-7.5*7.51/1! =0.00055+0.00415=0.0047

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