Burnt Mesa Pueblo, in one of the archaeological excavation sites, the artifact density (number of prehistoric artifacts per 10 liters of sediment) was 1.3. Suppose you are going to dig up and examine 44 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 44 liters of sediment. (a) Explain why the Poisson distribution would be a good choice for the probability distribution of r. Finding prehistoric artifacts is a rare occurrence. It is reasonable to assume the events are independent.Finding prehistoric artifacts is a rare occurrence. It is reasonable to assume the events are dependent. Finding prehistoric artifacts is a common occurrence. It is reasonable to assume the events are dependent.Finding prehistoric artifacts is a common occurrence. It is reasonable to assume the events are independent. 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 44 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 44 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 44 liters of sediment. (Round your answer to four decimal places.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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 1.3. Suppose you are going to dig up and examine 44 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 44 liters of sediment.
(a)
Explain why the Poisson distribution would be a good choice for the probability distribution of r.
Finding prehistoric artifacts is a rare occurrence. It is reasonable to assume the events are independent.Finding prehistoric artifacts is a rare occurrence. It is reasonable to assume the events are dependent.    Finding prehistoric artifacts is a common occurrence. It is reasonable to assume the events are dependent.Finding prehistoric artifacts is a common occurrence. It is reasonable to assume the events are independent.
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 44 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 44 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 44 liters of sediment. (Round your answer to four decimal places.)
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman