Question

At Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 1.8. Suppose you are going to dig up and examine 43 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 43 liters of sediment

What is ??

Write out the formula for the probability distribution of the random variable r. (Use e, ?, and r in your answer.)

P(r) =

(b) Compute the probabilities that in your 43 liters of sediment you will find two prehistoric artifacts, three prehistoric artifacts, and four prehistoric artifacts. (Round your answers to four decimal places.)

P(2) =

P(3) =

P(4) =

(c) Find the probability that you will find three or more prehistoric artifacts in the 43 liters of sediment. (Round your answer to four decimal places.) (d) Find the probability that you will find fewer than three prehistoric artifacts in the 43 liters of sediment. (Round your answer to four decimal places.)

QUESTION 2:

A television program reported that the U.S. (annual) birth rate is about 20 per 1000 people, and the death rate is about 14 per 1000 people.

(a) In a community of 1000 people, what is the (annual) probability of 9 births? What is the probability of 9 deaths? What is the probability of 14 births? 14 deaths? (Round your answers to four decimal places.)

P(9 births) =
P(9 deaths) =
P(14 births) =
P(14 deaths) =

(b) Repeat part (b) for a community of 1500 people. You will need to use a calculator to compute P(9 births) and P(14 births). (Round your answers to four decimal places.)

P(9 births) =
P(9 deaths) =
P(14 births) =
P(14 deaths) =

(c) Repeat part (b) for a community of 750 people. (Round your answers to four decimal places.)

P(9 births) =
P(9 deaths) =
P(14 births) =
P(14 deaths) =

Answer 1