logo Hurry, Grab up to 30% discount on the entire course
Order Now logo

Ask This Question To Be Solved By Our ExpertsGet A+ Grade Solution Guaranteed

expert
Mehar KhanNursing
(5/5)

971 Answers

Hire Me
expert
Wyattt RyesEducation
(5/5)

799 Answers

Hire Me
expert
Raymond BarbeauGeneral article writing
(5/5)

602 Answers

Hire Me
expert
Rech ElleeNursing
(5/5)

669 Answers

Hire Me
R Programming
(5/5)

part of a habitat assessment, you are tasked with searching for a rare bird. You visit 20 sites. At each site, you search 10 trees for birds’ nests

INSTRUCTIONS TO CANDIDATES
ANSWER ALL QUESTIONS

REMEMBER: capitalization, spacing, and parentheses are important when using datasets and functions in R! 

Include all code for each question, plus output from R or graphs, and answer all sub-questions. 

Question 1. As part of a habitat assessment, you are tasked with searching for a rare bird. You visit 20 sites. At each site, you search 10 trees for birds’ nests. The following data show the number of trees with nests you count at each of the 20 sites:

Read the following data into R:

Nests: 3, 2, 5, 2, 2, 4, 2, 4, 0, 3, 2, 3, 0, 1, 2, 4, 8, 0, 3, 3

a. What sort of discrete distribution do these data follow?

b. Read the data into R. Calculate the mean and variance of the data.

c. Based on the mean you calculated in part b, what is the probability of successfully seeing a nest in a given tree?

d. What is the probability of seeing nests in exactly 3 trees? (Use both the formula for a binomial probability and the R command dbinom() to calculate the probability.)

e. To protect the bird, you want to preserve sites that have 6 or more trees with nests in them. What is the probability of a site having 6 or more trees with nests? Based on your answer, do you think it is likely that the bird will be protected? (Use both the formula for a binomial cumulative probability and the R command pbinom() to calculate the probability.)

f. If you sample 25 trees at a new site, calculate the expected mean, variance, and standard deviation of the number of trees with nests at that site.

Question 2. You are a researcher trying to estimate the number of fishers and the number of bobcats in different forests in western Washington. You survey a random sample of 30 forests and find the following numbers of fishers and bobcats (read the following data into R):

Fishers: 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 3, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3

Bobcats: 5, 3, 4, 4, 5, 4, 0, 3, 1, 3, 5, 6, 2, 4, 4, 0, 3, 2, 6, 2, 1, 6, 5, 7, 3, 6, 2, 4, 3, 0

a. What sort of discrete distribution do these data follow?

b. Read the data into R. Calculate the mean and variance of the fisher and bobcat data separately. Are the mean and variance what you would expect, given your answer to part a?

c. Based on the means you calculated in part b, what is the probability of seeing 2 fishers in a given forest? (Use both the formula for a Poisson probability and the R command dpois() to calculate the probability.)

d. What is the probability of seeing 6 or fewer bobcats in a forest? (Use both the R command dpois() and the R command ppois() to calculate the probability.)

e. What is the probability of seeing more than 1 fisher or exactly 2 bobcats in a forest? (Assume the numbers of fishers and bobcats are independent.)

(5/5)
Attachments:

Related Questions

. The fundamental operations of create, read, update, and delete (CRUD) in either Python or Java

CS 340 Milestone One Guidelines and Rubric  Overview: For this assignment, you will implement the fundamental operations of create, read, update,

. Develop a program to emulate a purchase transaction at a retail store. This  program will have two classes, a LineItem class and a Transaction class

Retail Transaction Programming Project  Project Requirements:  Develop a program to emulate a purchase transaction at a retail store. This

. The following program contains five errors. Identify the errors and fix them

7COM1028   Secure Systems Programming   Referral Coursework: Secure

. Accepts the following from a user: Item Name Item Quantity Item Price Allows the user to create a file to store the sales receipt contents

Create a GUI program that:Accepts the following from a user:Item NameItem QuantityItem PriceAllows the user to create a file to store the sales receip

. The final project will encompass developing a web service using a software stack and implementing an industry-standard interface. Regardless of whether you choose to pursue application development goals as a pure developer or as a software engineer

CS 340 Final Project Guidelines and Rubric  Overview The final project will encompass developing a web service using a software stack and impleme